1.
図書
by V.I. Ferronsky and S.A. Denisik and S.V. Ferronsky
2.
図書
A.A. Andronov ・・・[et al.] ; translated from Russian by D. Louvish
出版情報:
Jerusalem : Israel Program for Scientific Translations; [distributed by Halstead Press, a division of] J. Wiley, New York , New York : Wiley, c1973 xxiii, 524 p. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
3.
図書
[by] Wilfred E. Baker, Peter S. Westine, and Franklin T. Dodge
出版情報:
Rochelle Park, N.J. : Spartan Books; [distributed by] Hayden Book Co, [1973] 396 p ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
4.
図書
C.F. Beards
5.
図書
Jerry H. Ginsberg, Joseph Genin
出版情報:
New York : Wiley, c1984 xiv, 925, [42] p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
6.
図書
A.R. Collar and A. Simpson
7.
図書
by George D. Birkhoff
目次情報:
続きを見る
Physical aspects of dynamical systems Variational principles and applications
Formal aspects of dynamics
Stability of periodic motions
Existence of periodic motions
Application of Poincare's geometric theorem
General theory of dynamical systems
The case of two degrees of freedom
The problem of three bodies
Addendum Footnotes
Bibliography
Index
Physical aspects of dynamical systems Variational principles and applications
Formal aspects of dynamics
Stability of periodic motions
8.
図書
Paul R. Chernoff, Jerrold E. Marsden
9.
図書
Francis C. Moon
出版情報:
New York : Wiley, c1987 xv, 309 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Introduction
A New Age of Dynamics
How to Identify Chaotic Vibrations
A Survey of Systems with Chaotic Vibrations
Experimental Methods in Chaotic Vibrations
Criteria for Chaotic Vibrations
Fractal Concepts in Nonlinear Dynamics
References
Appendixes
Introduction
A New Age of Dynamics
How to Identify Chaotic Vibrations
10.
図書
by Alexander L. Fradkov, Iliya V. Miroshnik, and Vladimir O. Nikiforov
11.
図書
Lawrence N. Virgin
出版情報:
Cambridge ; New York : Cambridge University Press, 2000 xvi, 256 p. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Preface
Brief introductory remarks / 1：
Background: linear behavior / 2：
Some useful concepts / 3：
The paradigm / 4：
Mathematical description / 5：
The experimental model / 6：
Free oscillations / 7：
Forced response: periodic / 8：
Forced response: non-periodic / 9：
Escape from a potential energy well / 10：
A hardening spring oscillator / 11：
The effect of a stiffness discontinuity / 12：
Two-frequency excitation / 13：
Global issues / 14：
A nonlinear electric circuit / Appendix A：
A continuous system / Appendix B：
References
Preface
Brief introductory remarks / 1：
Background: linear behavior / 2：
12.
図書
А.А. Андронов ... [и др.]
出版情報:
Москва : Изд-во "Наука", Глав. ред. физико-математической лит-ры, 1966 568 p. ; 27 cm
子書誌情報:
loading…
所蔵情報:
loading…
13.
図書
Richard A. Layton
14.
図書
Helena E. Nusse, James A. Yorke
目次情報:
続きを見る
Preface
Getting the program running / 1：
The Dynamics program and hardware Smalldyn: a small version of Dynamics / 1.1：
Getting started with Dynamics Using the mouse Appendix: description of the interrupts / 1.2：
Questions / 1.3：
Samples of Dynamics: pictures you can make simply / 2：
Introduction Example / 2.1：
Plot a trajectory Example / 2-1a：
Draw a box Example / 2-1b：
Viewing the Parameter Menu Example / 2-1c：
Refresh the screen and continue plotting Example / 2-1d：
Clear the screen and continue plotting Example / 2-1e：
Single stepping through a trajectory Example / 2-1f：
Plot a cross at current position Example / 2-1g：
Draw axes and print picture Example / 2-1h：
Initializing Example / 2-1i：
Viewing the Y Vectors Example / 2-1j：
Find a fixed point Example / 2-1k：
Find a period 2 orbit Example / 2-1l：
Search for all periodic points of period 5 Example / 2-1m：
Change RHO Example / 2-1n：
Plotting permanent crosses Example / 2-1o：
Set storage vector y1 and initialize Example / 2-1p：
Change X Scale or Y Scale / 2-1q：
Complex pictures that are simple to make Example / 2.2：
Chaotic attractor Example / 2-2a：
Computing Lyapunov exponents Example / 2-2b：
Plotting trajectory versus time Example / 2-2c：
Graph of iterate of one dimensional map Example / 2-3a：
Cobweb plot of a trajectory Example / 2-3b：
The Henon attractor Example / 2-3c：
The first iterate of a quadrilateral Example / 2-5：
Plotting direction field and trajectories Example / 2-6：
Bifurcation diagram for the quadratic map Example / 2-7：
Bifurcation diagram with bubbles Example / 2-8：
All the Basins and Attractors Example / 2-9：
Metamorphoses in the basin of infinity Example / 2-10：
Search for all periodic points with period 10 Example / 2-11：
Search for all period 1 and period 2 points Example / 2-12：
Following orbits as a parameter is varied Example / 2-13：
The Mandelbrot set Example / 2-14：
3-Dimensional views on the Lorenz attractor Example / 2-15：
Unstable manifold of a fixed point Example / 2-17：
Stable and unstable manifolds Example / 2-18：
Plotting a Saddle Straddle Trajectory Example / 2-19a：
The unstable manifold of a fixed point Example / 2-19b：
The stable manifold of a fixed point Example / 2-19c：
Saddle Straddle Trajectory, and manifolds Example / 2-19d：
The basin of attraction of infinity Example / 2-20：
A trajectory on a basin boundary Example / 2-21：
A BST trajectory for the Tinkerbell map Example / 2-22：
Lyapunov exponent bifurcation diagram Example / 2-23：
Chaotic parameters Example / 2-24：
Box-counting dimension of an attractor Example / 2-25：
Zooming in on the Tinkerbell attractor Example / 2-26：
Period plot in the Mandelbrot set Appendix Commands for plotting a graph Commands from the Numerical / 2-27：
Explorations Menu Plotting multiple trajectories simultaneously
Screen utilities / 3：
Basic screen features (Screen Menu SM) / 3.1：
Commands for clearing the screen Commands for controlling the screen Level of Text output
Writing on pictures
The arrow keys and boxes (BoX Menu, BXM) / 3.2：
Initializing trajectories, plotting crosses, drawing circles and their iterates (Kruis Menu KM) / 3.3：
Drawing axes (AXes Menu AXM) / 3.4：
Windows and rescaling (Window Menu WM) Detailed view on the structure of an attractor / 3.5：
Zooming in or zooming out (ZOOm Menu ZOOM) / 3.6：
Setting colors (Color Menu CM and Color Table Menu CTM) Color screens Core copy of the picture / 3.7：
Color planes Commands for erasing colors
Utilities / 4：
Setting parameters (Parameter Menu PM) / 4.1：
Setting and replacing a vector (Vector Menu VM) Y Vectors "Own" and the coordinates of yÃââÇ ÃâÅô / 4.2：
Setting step size (Differential Equation Menu DEM) / 4.3：
Saving pictures and data (Disk Menu DM) Creating a batch file of commands Commands for reading disk files / 4.4：
Setting the size of the core (Size of Core Menu SCM) / 4.5：
Printing pictures (PriNter Menu PNM) Commands for specifying printer / 4.6：
Encapsulated PostScript Commands for printer options
Text to printer Printing color pictures
Printing pictures with any p
Preface
Getting the program running / 1：
The Dynamics program and hardware Smalldyn: a small version of Dynamics / 1.1：
15.
図書
David Acheson
出版情報:
Oxford : Oxford University Press, 1997 ix, 269 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Introduction / 1：
A Brief Review of Calculus / 2：
Ordinary Differential Equations / 3：
Computer Solution Methods / 4：
Elementary Oscillations / 5：
Planetary Motion / 6：
Waves and diffusion / 7：
The Best of all Possible Worlds? / 8：
Fluid Flow / 9：
Instability and Catastrophe / 10：
Nonlinear Oscillations and Chaos / 11：
The Not-so-simple Pendulum / 12：
Further reading
Elementary programming in QBASIC / Appendix A：
Ten programs for exploring dynamics / Appendix B：
Solutions to the exercises
Index
Introduction / 1：
A Brief Review of Calculus / 2：
Ordinary Differential Equations / 3：
16.
図書
Abraham Boyarsky, Pawel Góra
17.
図書
Alexandre Koyré
18.
図書
Francis C. Moon
出版情報:
New York : Wiley, c1998 xi, 492 p. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Dynamic Phenomena and Failures
Basic Principles of Dynamics
Kinematics
Principles of D2Alembert, Virtual Power, and Lagrange2s Equations
Rigid Body Dynamics
Introduction to Robotics and Multibody Dynamics
Orbital and Satellite Dynamics
Electromechanical Dynamics: An Introduction to Mechatronics
Introduction to Nonlinear and Chaotic Dynamics
Appendices
References
Index
Dynamic Phenomena and Failures
Basic Principles of Dynamics
Kinematics
19.
図書
by Anatoliy K. Prykarpatsky and Ihor V. Mykytiuk
目次情報:
続きを見る
Preface
Background Notations
Dynamical systems with homogeneous configuration spaces / 1：
Dynamical systems with symmetries
Poisson structures / 1.1：
Lie group actions on manifolds / 1.2：
Symplectic structures on coadjoint representation orbits / 1.3：
Hamiltonian group actions / 1.4：
Invariant Hamiltonian systems with homogeneous configuration spaces / 1.5：
The existence of a maximal involutive set of functions on the orbits of semi-simple elements of a semi-simple Lie algebra / 2：
The algebra of invariant polynomials on a semi-simple Lie algebra / 2.1：
Semi-simple element orbits / 2.2：
Maximal involutive sets of functions on semi-simple elements orbits / 2.3：
The integrability criterion and spherical pairs of Lie groups / 3：
Criterion of integrability / 3.1：
Spherical pairs of complex Lie groups / 3.2：
Interpolation property of spherical pairs of compact Lie groups / 4：
Properties of spherical pairs of compact Lie algebras / 4.1：
Points in general position / 4.2：
Spherical pairs of classical simple Lie groups / 5：
Preliminary remarks / 5.1：
Involutions of simple Lie algebras / 5.2：
Spherical pairs of classical Lie algebras / 5.3：
Classification of spherical pairs of the exceptional simple Lie algebras / 6：
Classification of spherical pairs of semi-simple Lie groups / 7：
Spherical pairs of semi-simple Lie algebras / 7.1：
Geometric quantization and integrable dynamical systems
Connections on line bundles
Line bundles
Equivalence classes of line bundles
Connections
The integrality condition
Hermitian structures
Equivalence classes of line bundles with connections / 1.6：
Holomorphic line bundles / 1.7：
Derivations / 1.8：
Tensor products, square roots and invariant Hermitian structures / 1.9：
Parallel transport on a line bundle with a connection / 1.10：
Parallel transport and derivations / 1.11：
Flat partial connections
Flat F-connections
Maps of line bundles
Line bundles of differential forms
Geometric quantization
Polarizations
Geometric quantization and reduction
Introduction
Hamiltonian reduction
Quantization / 4.3：
Examples: geometric quantization of the oscillator type Hamiltonian systems
Geometric quantization of the generalized n-dimensional harmonic oscillator
Geometric quantization of geodesic flow on a sphere
Geometric quantization of the multidimensional Kepler problem
Geometric quantization of the MIC-Kepler problem / 5.4：
Structures on manifolds and algebraic integrability of dynamical systems
Poisson structures and dynamical systems with symmetries
Preliminary notes
Poisson structures on manifolds
Casimir functions and involution
Casimir functions associated with classical expansions of semi-simple Lie algebras
Alder-Kostant-Symes and Mishchenko-Fomenko theorems
The reduction method and Poisson structures on dual spaces of semi-direct sums of Lie algebras
The mapping canonicity of symplectic structures
Momentum mapping
Poisson structures on dual spaces of semi-direct sums of Lie algebras
Canonical mappings / 2.4：
Nonlinear Neumann type dynamical systems as integrable flows on coadjoint orbits of Lie groups
The Neumann problem
The Lie-Poisson bracket associated with the ad-semidirect sum of Lie algebras
The canonical symplectic structure on T(S[superscript n-1]) and its diffeomorphisms / 3.3：
An involutive system of integrals for the Neumann dynamical system on the sphere S[superscript n-1] / 3.4：
Generalized Neumann-Bogoliubov dynamical systems / 3.5：
Abelian integrals, integrable dynamical systems, and their Lax type representations
The Neumann-Rosochatius-Bogoliubov Hamiltonian system
Conservation laws
Lax type representation
Dual momentum mappings and their applications
Preliminaries
Dualities
The Neumann-Rosochatius system
The Lie algebraic setting of Benney-Kaup dynamical systems and associated via Moser Neumann-Bogoliubov oscillatory flows
The Novikov-Lax finite-dimensional invariant reductions on nonlocal submanifolds / 6.1：
The Moser map and its associated dual moment maps into loop Lie algebras / 6.3：
The finite-dimensional Moser type of reduction of modified Boussinesq and super-Korteweg-de Vries Hamiltonian systems via the gradient-holonomic algorithm and dual moment maps
The Moser type of finite-dimensional reduction of a Boussinesq hydrodynamic system and its Lie-algebraic integrability / 7.2：
The Neumann type of oscillatory super-Hamiltonian systems on the sphere S[superscript N] and their Lie algebraic super-integrability / 7.3：
Lax-type of flows on Grassmann manifolds and dual momentum mappings / 8：
Symplectic structures on loop Grassmann manifolds / 8.1：
An intrinsic loop Grassmannian structure and dual momentum mappings / 8.3：
On the geometric structure of integrable flows in Grassmann manifolds / 9：
Centrally extended symplectic structures and integrable flows on the loop Grassmann manifolds / 9.1：
Algebraic methods of quantum statistical mechanics and their applications
Current algebra representation formalism in nonrelativistic quantum mechanics
The current algebra in nonrelativistic quantum mechanics
Current algebra representations
Bogoliubov-Araki generating functional
Lie current algebra, Hamiltonian operator, and Bogoliubov functional equations
Hamiltonian operator
Gibbs states and the Kubo-Martin-Schwinger conditions
Stable states and the KMS condition
Functional-operator representations of the current Lie algebra
The Bogoliubov-Bloch functional equation / 2.5：
The reconstruction via Araki of the Hamiltonian operator and the Bogoluibov functional equation / 2.6：
Functional-operator solutions of the Bogoliubov functional equations / 2.7：
A generalized Virasoro algebra / 2.8：
The secondary quantization method and the spectrum of quantum excitations of a nonlinear Schrodinger type dynamical system
Preliminary notions
The second quantization representation
A generalized nonlinear Schrodinger type quantum dynamical system
The quantum inverse spectral transform method
The scattering operator
Eigenvalue states of the nonlinear Schrodinger type model / 3.6：
Quantum excitations of a bose gas with a positive momentum / 3.7：
Unitary representations of the generalized Virasoro algebra
Verma modules over the generalized Virasoro current algebra
Unitary irreducible modules with highest weight
Algebraic and differential geometric aspects of the integrability of nonlinear dynamical systems on infinite-dimensional functional manifolds
The current Lie algebra on S[superscript 1] and its functional representations
Basic notations
Associated cohomology complexes and their properties
Differential geometry analysis on real jet manifolds
Differential geometry analysis on jet supermanifolds
Euler variational derivative, external differential and tensors on infinite-dimensional functional spaces
Implectic operators and Poisson structures
Dynamical systems and bi-Hamiltonicity
The equivalence of dynamical systems as the Backlund transformation
The current Lie algebra on a cycle as a symmetry subalgebra of compatibly bi-Hamiltonian nonlinear dynamical systems on an axis
The Hamiltonicity of nonlinear dynamical systems on infinite-dimensional functional manifolds
A Lie-algebraic algorithm for investigating integrability
The gradient holonomic algorithm and Lax type representation
An adjoint Lax type equation and conservation laws
Lax type representation: differential algebraic approach
Lax type representation: geometric approach
Lagrangian and Hamiltonian formalisms for reduced infinite-dimensional dynamical systems with symmetries
General setting
Lagrangian reduction
Symplectic analysis and Hamiltonian fields
Discrete dynamical systems. One generalization
Non-isospectrally integrable dynamical systems: the generalized asymptotic structure of conservation laws
A nonstandard reduction problem
Lagrangian and Hamiltonian analysis of dynamical systems on functional manifolds. The Poisson-Dirac bracket / 3.8：
Conclusions / 3.9：
The algebraic structure of the gradient-holonomic algorithm for Lax type integrable nonlinear dynamical systems
Algebraic structure of the Lax type integrable dynamical system
The periodic problem and canonical variational relationships
The spectral gradient structure of Lax integrable many-dimensional nonlinear dynamical systems on operator manifolds / 4.4：
The integrability of Lie-invariant geometric objects generated by ideals in the Grassmann algebra
An effective Maurer-Cartan one-form construction
General structure of integrable one-forms augmenting the two-forms associated with a closed ideal in the Grassmann algebra
Cartan's invariant geometric object structure of the gradient-holonomic algorithm for Lax integrable nonlinear dynamical systems in partial derivatives
A loop algebra and the Yang-Baxter structure / 5.5：
The transfer matrix properties / 5.6：
The algebraic structure of the gradient-holonomic algorithm for the Lax-type nonlinear dynamical systems: the reduction via Dirac and the canonical quantization procedure
The generalized R-structure hierarchy
The Dirac quantization procedure for Moser induced finite-dimensional Neumann type Hamiltonian systems
The scalar and operator integrable Hamiltonian systems via the algebraic gradient-holonomic algorithm / 6.4：
Concluding remarks / 6.5：
Hamiltonian structures of hydrodynamical Benny type dynamical systems and their associated Boltzmann-Vlasov kinetic equations on an axis
The Boltzmann equation and an associated moment problem
A nonlinear completely integrable Schrodinger type dynamical system approximation
The complete integrability of a Benney type hydrodynamical system associated with a Boltzmann-Vlasov equation / 7.4：
Conclusion / 7.5：
Appendix
Basic definitions, examples / .1：
The tangent Lie algebra / .2：
Lie subgroups / .3：
Lie algebras / .4：
Cartan subalgebras / .5：
Semi-simple complex Lie algebras / .6：
References
Preface
Background Notations
Dynamical systems with homogeneous configuration spaces / 1：
20.
図書
Ferdinand P. Beer, E. Russell Johnston, Jr., with the collaboration of Elliot R. Eisenberg, Robert G. Sarubbi
出版情報:
New York : McGraw-Hill Co., c1996 xxi, 582-1314 p. ; 27 cm
子書誌情報:
loading…
所蔵情報:
loading…
21.
図書
Arthur G. Hansen
22.
図書
B.B. Muvdi, A.W. Al-Khafaji, J.W. McNabb
出版情報:
New York ; Tokyo : Springer-Verlag, c1997 xviii, 900 p. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
23.
図書
Andreas Knauf, Yakov G. Sinai ; with a contribution by Viviane Baladi
出版情報:
Basel : Birkhäuser Verlag, c1997 vi, 98 p. ; 24 cm
シリーズ名:
DMV seminar ; Bd. 27
子書誌情報:
loading…
所蔵情報:
loading…
24.
図書
Richard H. Cushman, Larry M. Bates
出版情報:
Basel ; Boston : Birkhäuser Verlag, c1997 xvi, 435 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
25.
図書
Stig I. Andersson (ed.)
26.
図書
B. Skalmierski, A. Tylikowski ; [translation Maria Arcisz]
27.
図書
William F. Riley, Leroy D. Sturges
出版情報:
New York : Wiley, c1996 xviii, 636 p. ; 27 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
General Principles
Kinematics of Particles
Kinematics of Rigid Bodies
Kinetics of Particles: Newton's Law
Kinetics of Rigid Bodies: Newton's Laws
Kinetics of Particles: Work and Energy Methods
Kinetics of Rigid Bodies: Work and Energy Methods
Kinetics of Particles: Impulse and Momentum
Kinetics of Rigid Bodies: Impulse and Momentum
Mechanical Vibrations
Appendices
Answers to Selected Problems
Index Photo Credits
General Principles
Kinematics of Particles
Kinematics of Rigid Bodies
28.
図書
Firdaus E. Udwadia, Robert E. Kalaba
出版情報:
New York : Cambridge University Press, c1996 x, 262 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
29.
図書
Jerry H. Ginsberg
出版情報:
New York : Cambridge University Press, 1995 xv, 462 p. ; 27 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Basic considerations / 1：
Introduction / 2：
Newton+s Laws / 3：
Systems of Units / 4：
Vector Calculus / 5：
Energy and Momentum / 6：
Brief Biographical Perspective / 7：
Particle Kinematics / 8：
Path Variables-Intrinsic Coordinates / 9：
Rectangular Cartesian Coordinates / 10：
Orthogonal Curvilinear Coordinates / 11：
Joint Kinematical Descriptions / 12：
Relative Motion / 13：
Rotation Transformations / 14：
Finite Rotations / 15：
Angular Velocity and Derivatives of Rotating Vectors / 16：
Angular Acceleration / 17：
Derivative of an Arbitrary Factor / 18：
Velocity and Acceleration Using a Moving Reference Frame / 19：
Observations from a Moving Reference System / 20：
Kinematics of Rigid Bodies / 21：
General Equations / 22：
Eulerian Angles / 23：
Interconnections / 24：
Rolling / 25：
Newtonian Kinetics of a Rigid Body / 26：
Fundamental Principles / 27：
Evaluations of Angular Momentum and Inertia Properties / 28：
Rate of Change of Angular Momentum / 29：
Equations of Motion / 30：
Planar Motion / 31：
Impulse-Momentum and Work-Energy Principles / 32：
System of Rigid Bodies / 33：
Introduction of Analytical Mechanics / 34：
Generalized Coordinates and Degrees of Freedom / 35：
Constraints - Holonomic and Nonholonomic / 36：
Virtual Displacements / 37：
Generalized Forces / 38：
Hamilton+s Principle / 39：
Lagrange+s Equations / 40：
Further Concepts in Analytical Mechanics / 41：
Constrained Generalized Coordinates / 42：
Computational Methods in the State-Space / 43：
Hamiltonian Mechanics and Further Conservation Principles / 44：
Gibbs-Appell Equations for Quasi-Coordinates / 45：
Gyroscopic Effects / 46：
Free Motion / 47：
Spinning Top / 48：
Gyroscopes for Inertial Guidance / 49：
Appendix
Answers to even-numbered problems
Index
Basic considerations / 1：
Introduction / 2：
Newton+s Laws / 3：
30.
図書
Gene F. Franklin, J. David Powell
出版情報:
Reading, Mass. : Addison-Wesley Pub. Co., c1980 xvi, 335 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Introduction / 1：
Problem Definition
Overview of Design Approach
Computer-Aided Design
Suggestions for Further Reading
Summary
Problems
Review of Continuous Control / 2：
Dynamic Response
Basic Properties of Feedback
Root Locus
Frequency Response Design
Compensation
State-Space Design
Introductory Digital Control / 3：
Digitization
Effect of Sampling
PID Control
Discrete Systems Analysis / 4：
Linear Difference Equations
The Discrete Transfer Function
Discrete Models of Sampled-Data Systems
Signal Analysis and Dynamic Response
Frequency Response
Properties of the z-Transform
Sampled-Data Systems / 5：
Analysis of the Sample and Hold
Spectrum of a Sampled Signal
Data Extrapolation
Block-Diagram Analysis of Sampled-Data Systems
Calculating the System Output Between Samples: The Ripple
Appendix
Discrete Equivalents / 6：
Design of Discrete Equivalents via Numerical Integration
Zero-Pole Matching Equivalents
Hold Equivalents
Design Using Transform Techniques / 7：
System Specifications
Design by Emulation
Direct Design by the Root Locus in the z-Plane
Frequency Response Methods
Direct Design Method of Ragazzini
Design Using State-Space Methods / 8：
Control Law Design
Estimator Design
Regulator Design: Combined Control Law and Estimator
Introduction of the Reference Input
Integral Control and Disturbance Estimation
Effect of Delays
Controllability and Observability
Multivariable and Optimal Control / 9：
Decoupling
Time-Varying Optimal Control
LQR Steady-State Optimal Control
Optimal Estimation
Multivariable Control Design
Quantization Effects / 10：
Analysis of Round-Off Error
Effects of Parameter Round-Off
Limit Cycles and Dither Summary
Sample Rate Selection / 11：
The Sampling Theorem's Limit
Time Response and Smoothness
Errors Due to Random Plant Disturbances
Sensitivity to Parameter Variations
Measurement Noise and Antialiasing Filters
Multirate Sampling
System Identification / 12：
Defining the Model Set for Linear Systems
Identification of Nonparametric Models
Models and Criteria for Parametric Identification
Deterministic Estimation
Stochastic Least Squares
Maximum Likelihood
Numerical Search for the Maximum Likelihood Estimate
Subspace Identification Methods
Nonlinear Control / 13：
Analysis Techniques
Design of a Disk Drive Servo: A Case Study / 14：
Overview of Disk Files
Components and Models
Design Specifications
Disk Servo Design
Introduction / 1：
Problem Definition
Overview of Design Approach
31.
図書
Jürg Fröhlich, editor
32.
図書
D.K. Anand, P.F. Cunniff
33.
図書
J.M.T. Thompson and H.B. Stewart ; with the assistance of R. Ghaffari and C. Franciosi and a contribution by H.L. Swinney
出版情報:
Chichester [West Sussex] : Wiley, c1986 xvi, 376 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
34.
図書
edited by R. L. Dobrushin
35.
図書
Wilfred E. Baker, Peter S. Westine, Franklin T. Dodge
36.
図書
H.W. Broer and F. Takens (editors)
37.
図書
Dan H. Pletta , Daniel Frederick
出版情報:
New York : Ronald Press, c1964 ix 664 p. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
38.
図書
H. Thomas (ed.), edited in cooperation with the Deutsche Physikalische Gesellschaft
出版情報:
Berlin ; New York : Springer-Verlag, c1992 ix, 241 p. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
39.
図書
by D. Ter Haar
出版情報:
Amsterdam : North-Holland , New York : Interscience Publishers, 1961 viii, 191 p. ; 23 cm
シリーズ名:
Series in physics
子書誌情報:
loading…
所蔵情報:
loading…
40.
図書
Ferenc Szidarovszky, A. Terry Bahill
41.
図書
S. Neil Rasband
出版情報:
New York : Wiley, c1983 xi, 272 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
42.
図書
Francis C. Moon
43.
図書
by C. W. Kilmister
出版情報:
New York : Plenum Press, c1967 vii, 136 p. ; 23 cm
子書誌情報:
loading…
所蔵情報:
loading…
44.
図書
Charles E. Smith
出版情報:
New York : Wiley, c1976 xi, 184 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
45.
図書
by E.T. Whittaker
出版情報:
London : Cambridge University Press, 1937 xiv, 456 p. ; 27 cm
子書誌情報:
loading…
所蔵情報:
loading…
46.
図書
Samuel Seely
47.
図書
Donald T. Greenwood
目次情報:
続きを見る
Preface
Introductory concepts / 1：
The Mechanical System / 1.1：
Equations of motion
Units
Generalized Coordinates / 1.2：
Degrees of freedom
Configuration space
Example
Constraints / 1.3：
Holonomic constraints
Nonholonomic constraints
Unilateral constraints
Virtual Work / 1.4：
Virtual displacement
Virtual work
Principle of virtual work
D'Alembert's principle
Generalized force
Examples
Energy and Momentum / 1.5：
Potential energy
Work and kinetic energy
Conservation of energy
Equilibrium and stability
Kinetic energy of a system
Angular momentum
Generalized momentum
Lagrange's Equations / 2：
Derivation of Lagrange's Equations / 2.1：
Kinetic energy
Lagrange's equations
Form of the equations of motion
Nonholonomic systems
Spherical pendulum / 2.2：
Double pendulum
Lagrange multipliers and constraint forces
Particle in whirling tube
Particle with moving support
Rheonomic constrained system
Integrals of the Motion / 2.3：
Ignorable coordinates
Example--the Kepler problem
Routhian function
Conservative systems
Natural systems
Liouville's system
Small Oscillations / 2.4：
Natural modes
Principal coordinates
Orthogonality
Repeated roots
Initial conditions
Special applications of Lagrange's Equations / 3：
Rayleigh's Dissipation function / 3.1：
Impulsive Motion / 3.2：
Impulse and momentum
Lagrangian method
Ordinary constraints
Impulsive constraints
Energy considerations
Quasi-coordinates
Gyroscopic systems / 3.3：
Gyroscopic forces
Small motions
Gyroscopic stability
Velocity-Dependent Potentials / 3.4：
Electromagnetic forces
Hamilton's Equations / 4：
Hamilton's Principle / 4.1：
Stationary values of a function
Constrained stationary values
Stationary value of a definite integral
Example--the brachistochrone problem Example--geodesic path
Case of n dependent variables
Hamilton's principle
Multiplier rule
Derivation of Hamilton's equations / 4.2：
The form of the Hamiltonian function
Legendre transformation
Other Variational Principles / 4.3：
Modified Hamilton's principle
Principle of least action
Phase Space / 4.4：
Trajectories
Extended phase space
Liouville's theorem
Hamilton-Jacobi Theory / 5：
Hamilton's Principal Function / 5.1：
The canonical integral
Pfaffian differential forms
The Hamilton-Jacobi Equation / 5.2：
Jacobi's theorem
Conservative systems and ignorable coordinates
Separability / 5.3：
Stackel's theorem
Canonical Transformations / 6：
Differential Forms and Generating Functions / 6.1：
Canonical transformations
Principal forms of generating functions
Further comments on the Hamilton-Jacobi method
Special Transformations / 6.2：
Some simple transformations
Homogeneous canonical transformations
Point transformations
Momentum transformations
Lagrange and Poisson Brackets / 6.3：
Lagrange brackets
Poisson brackets
The bilinear covariant
More General Transformations / 6.4：
Necessary conditions
Time transformations
Matrix Foundations / 6.5：
Hamilton's equations
Symplectic matrices
Further Topics / 6.6：
Infinitesimal canonical transformations
Integral invariants
Introduction to Relativity / 7：
Introduction / 7.1：
Galilean transformations
Maxwell's equations
The Ether theory
The principle of relativity
Relativistic Kinematics / 7.2：
The Lorentz transformation equations
Events and simultaneity
Example--Einstein's train
Time dilation
Longitudinal contraction
The invariant interval
Proper time and proper distance
The world line
Example--the twin paradox
Addition of velocities
The relativistic Doppler effect
Relativistic dynamics / 7.3：
Momentum
Ener
Preface
Introductory concepts / 1：
The Mechanical System / 1.1：
48.
図書
Katsuhiko Ogata
出版情報:
Englewood Cliffs, N.J. : Prentice-Hall, c1978 x, 596 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Introduction / 1：
The Laplace Transform / 2：
Mechanical Systems / 3：
Electrical Systems / 4：
Fluid Systems and Thermal Systems / 5：
Linear Systems Analyses in the Time Domain / 6：
Linear Systems Analysis in the Frequency Domain / 7：
Analysis and Design of Control Systems in the Time Domain / 8：
Analysis and Design of Control Systems in the Frequency Domain / 9：
Mathematical Modeling of Dynamic Systems in State Space / 10：
Discrete-Time Systems / 11：
Systems of Units / Appendix A：
Conversion Tables / Appendix B：
Vector-Matrix Analysis / Appendix C：
References
Index
Introduction / 1：
The Laplace Transform / 2：
Mechanical Systems / 3：
49.
図書
Ernst A. Guillemin
出版情報:
New York : Wiley, c1963 xvii, 586 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
50.
図書
E. C. G. Sudarshan, N. Mukunda
出版情報:
New York : Wiley, c1974 xi, 615 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
51.
図書
[by] A. A. Andronov [and others]
出版情報:
New York : Wiley, [1973] , Jerusalem : Israel Program for Scientific Translations, c1973 xiv, 482 p ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
52.
図書
[by] Jerry B. Marion
出版情報:
New York : Academic Press, [1970] xvi, 573 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
53.
図書
Bruce H. Karnopp
出版情報:
Reading, Mass. : Addison-Wesley Pub. Co., [1974] xv, 583 p. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
54.
図書
[by] A. A. Andronov [and others] ; Translated from Russian [by IPST staff]
出版情報:
Jerusalem : Israel Program for Scientific Translations; [available from the U.S. Dept. of Commerce, National Technical Information Service, Springfield, Va.], 1971 xiv, 482 p ; 24 cm
シリーズ名:
NASA technical translation ; F-556
子書誌情報:
loading…
所蔵情報:
loading…
55.
図書
David Park
56.
図書
by Harry F. Olson
出版情報:
Princeton, N.J. : Van Nostrand, 1958 xi, 278 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
57.
図書
Gene F. Franklin, J. David Powell, Michael L. Workman
目次情報:
続きを見る
Introduction / 1：
Problem Definition
Overview of Design Approach
Computer-Aided Design
Suggestions for Further Reading
Summary
Problems
Review of Continuous Control / 2：
Dynamic Response
Basic Properties of Feedback
Root Locus
Frequency Response Design
Compensation
State-Space Design
Introductory Digital Control / 3：
Digitization
Effect of Sampling
PID Control
Discrete Systems Analysis / 4：
Linear Difference Equations
The Discrete Transfer Function
Discrete Models of Sampled-Data Systems
Signal Analysis and Dynamic Response
Frequency Response
Properties of the z-Transform
Sampled-Data Systems / 5：
Analysis of the Sample and Hold
Spectrum of a Sampled Signal
Data Extrapolation
Block-Diagram Analysis of Sampled-Data Systems
Calculating the System Output Between Samples: The Ripple
Appendix
Discrete Equivalents / 6：
Design of Discrete Equivalents via Numerical Integration
Zero-Pole Matching Equivalents
Hold Equivalents
Design Using Transform Techniques / 7：
System Specifications
Design by Emulation
Direct Design by the Root Locus in the z-Plane
Frequency Response Methods
Direct Design Method of Ragazzini
Design Using State-Space Methods / 8：
Control Law Design
Estimator Design
Regulator Design: Combined Control Law and Estimator
Introduction of the Reference Input
Integral Control and Disturbance Estimation
Effect of Delays
Controllability and Observability
Multivariable and Optimal Control / 9：
Decoupling
Time-Varying Optimal Control
LQR Steady-State Optimal Control
Optimal Estimation
Multivariable Control Design
Quantization Effects / 10：
Analysis of Round-Off Error
Effects of Parameter Round-Off
Limit Cycles and Dither Summary
Sample Rate Selection / 11：
The Sampling Theorem's Limit
Time Response and Smoothness
Errors Due to Random Plant Disturbances
Sensitivity to Parameter Variations
Measurement Noise and Antialiasing Filters
Multirate Sampling
System Identification / 12：
Defining the Model Set for Linear Systems
Identification of Nonparametric Models
Models and Criteria for Parametric Identification
Deterministic Estimation
Stochastic Least Squares
Maximum Likelihood
Numerical Search for the Maximum Likelihood Estimate
Subspace Identification Methods
Nonlinear Control / 13：
Analysis Techniques
Design of a Disk Drive Servo: A Case Study / 14：
Overview of Disk Files
Components and Models
Design Specifications
Disk Servo Design
Introduction / 1：
Problem Definition
Overview of Design Approach
58.
図書
[by] V.I. Arnold and A. Avez
59.
図書
[by] J. C. Maltbaek
出版情報:
London : Crosby Lockwood Staples, c1975 viii, 359 p. ; 23 cm
子書誌情報:
loading…
所蔵情報:
loading…
60.
図書
A. Cemal Eringen and Erdoğan S. Şuhubi
61.
図書
A. Cemal Eringen, Erdoğan S. Şuhubi
62.
図書
[by] Stephen H. Crandall [and others] ; Edited by Stephen H. Crandall
出版情報:
New York : McGraw-Hill, [1968] ix, 466 p. ; 23 cm
子書誌情報:
loading…
所蔵情報:
loading…
63.
図書
Ronald C. Rosenberg, Dean C. Karnopp
64.
図書
J.C. Maltbaek
65.
図書
By E.T. Whittaker ; with a foreword by Sir William McCrea
目次情報:
続きを見る
Foreword / Sir William McCrea, FRS
Preface to the fourth edition
Kinematical Preliminaries / Chapter I：
The displacements of rigid bodies / 1.：
Euler's theorem on rotations about a point / 2.：
The theorem of Rodrigues and Hamilton / 3.：
The composition of equal and opposite rotations about parallel axes / 4.：
Chasles' theorem on the most general displacement of a rigid body / 5.：
Halphen's theorem on the composition of two general displacements / 6.：
Analytic representation of a displacement / 7.：
The composition of small rotations / 8.：
Euler's parametric specification of rotations round a point / 9.：
The Eulerian angles / 10.：
Connexion of the Eulerian angles with the parameters [small xi], [small eta], [small zeta], [small chi] / 11.：
The connexion of rotations with homographies: the Cayley-Klein parameters / 12.：
Vectors / 13.：
Velocity and acceleration; their vectorial character / 14.：
Angular velocity; its vectorial character / 15.：
Determination of the components of angular velocity of a system in terms of the Eulerian angles, and of the symmetrical parameters / 16.：
Time-flux of a vector whose components relative to moving axes are given / 17.：
Special resolutions of the velocity and acceleration / 18.：
Miscellaneous Examples
The Equations of Motion / Chapter II：
The ideas of rest and motion / 19.：
The laws which determine motion / 20.：
Force / 21.：
Work / 22.：
Forces which do no work / 23.：
The coordinates of a dynamical system / 24.：
Holonomic and non-holonomic systems / 25.：
Lagrange's form of the equations of motion of a holonomic system / 26.：
Conservative forces; the kinetic potential / 27.：
The explicit form of Lagrange's equations / 28.：
Motion of a system which is constrained to rotate uniformly round an axis / 29.：
The Lagrangian equations for quasi-coordinates / 30.：
Forces derivable from a potential-function which involves the velocities / 31.：
Initial motions / 32.：
Similarity in dynamical systems / 33.：
Motion with reversed forces / 34.：
Impulsive motion / 35.：
The Lagrangian equations of impulsive motion / 36.：
Principles Available for the Integration / Chapter III：
Problems which are soluble by quadratures / 37.：
Systems with ignorable coordinates / 38.：
Special cases of ignoration; integrals of momentum and angular momentum / 39.：
The general theorem of angular momentum / 40.：
The energy equation / 41.：
Reduction of a dynamical problem to a problem with fewer degrees of freedom, by means of the energy equation / 42.：
Separation of the variables; dynamical systems of Lionville's type / 43.：
The Soluble Problems of Particle Dynamics / Chapter IV：
The particle with one degree of freedom; the pendulum / 44.：
Motion in a moving tube / 45.：
Motion of two interacting free particles / 46.：
Central forces in general: Hamilton's theorem / 47.：
The integrable cases of central forces; problems soluble in terms of circular and elliptic functions / 48.：
Motion under the Newtonian law / 49.：
The mutual transformation of fields of central force and fields of parallel force / 50.：
Bonnet's theorem / 51.：
Determination of the most general field of force under which a given curve or family of curves can be described / 52.：
The problem of two centres of gravitation / 53.：
Motion on a surface / 54.：
Motion on a surface of revolution; cases soluble in terms of circular and elliptic functions / 55.：
Joukovsky's theorem / 56.：
The Dynamical Specification of Bodies / Chapter V：
Definitions / 57.：
The moments of inertia of some simple bodies / 58.：
Derivation of the moment of inertia about any axis when the moment of inertia about a parallel axis through the centre of gravity is known / 59.：
Connexion between moments of inertia with respect to different sets of axes through the same origin / 60：
The principal axes of inertia; Cauchy's momental ellipsoid / 61.：
Calculation of the angular momentum of a moving rigid body / 62.：
Calculation of the kinetic energy of a moving rigid body / 63.：
Independence of the motion of the centre of gravity and the motion relative to it / 64.：
The Soluble Problems of Rigid Dynamics / Chapter VI：
The motion of systems with one degree of freedom; motion round a fixed axis, etc. / 65.：
The motion of systems with two degrees of freedom / 66.：
The motion of systems with three degrees of freedom / 67.：
Motion of a body about a fixed point under no forces / 69.：
Poinsot's kinematical representation of the motion; the polhode and herpolhode / 70.：
Motion of a top on a perfectly rough plane; determination of the Eulerian angle [straight thetas] / 71.：
Determination of the remaining Eulerian angles, and of the Cayley-Klein parameters; the spherical top / 72.：
Motion of a top on a perfectly smooth plane / 73.：
Kowalevski's top / 74.：
Theory of Vibrations / 75.：
Vibrations about equilibrium / 76.：
Normal coordinates / 77.：
Sylvester's theorem on the reality of the roots of the determinantal equation / 78.：
Solution of the differential equations; the periods; stability / 79.：
Examples of vibrations about equilibrium / 80.：
Effect of a new constraint on the periods of a vibrating system / 81.：
The stationary character of normal vibrations / 82.：
Vibrations about steady motion / 83.：
The integration of the equations / 84.：
Examples of vibrations about steady motion / 85.：
Vibrations of systems involving moving constraints / 86.：
Non-Holonomic Systems. Dissipative Systems / Chapter VIII：
Lagrange's equations with undetermined multipliers / 87.：
Equations of motion referred to axes moving in any manner / 88.：
Application to special non-holonomic problems / 89.：
Vibrations of non-holonomic systems / 90.：
Dissipative systems; frictional forces / 91.：
Resisting forces which depend on the velocity / 92.：
Rayleigh's dissipation-function / 93.：
Vibrations of dissipative systems / 94.：
Impact / 95.：
Loss of kinetic energy in impact / 96.：
Examples of impact / 97.：
The Principles of Least Action and Least Curvature / Chapter IX：
The trajectories of a dynamical system / 98.：
Hamilton's principle for conservative holonomic systems / 99.：
The principle of Least Action for conservative holonomic systems / 100.：
Extension of Hamilton's principle to non-conservative dynamical systems / 101.：
Extension of Hamilton's principle and the principle of Least Action to non-holonomic systems / 102.：
Are the stationary integrals actual minima? Kinetic foci / 103.：
Representation of the motion of dynamical systems by means of geodesics / 104.：
The least-curvature principle of Gauss and Hertz / 105.：
Expression of the curvature of a path in terms of generalised coordinates / 106.：
Appell's equations / 107.：
Bertrand's theorem / 108.：
Hamiltonian Systems and Their Integral-Invariants / Chapter X：
Hamilton's form of the equations of motion / 109.：
Equations arising from the Calculus of Variations / 110.：
Integral-invariants / 111.：
The variational equations / 112.：
Integral-invariants of order one / 113.：
Relative integral-invariants / 114.：
A relative integral-invariant which is possessed by all Hamiltonian systems / 115.：
On systems which possess the relative integral-invariant [integral sign][summation]p[small delta]q / 116.：
The expression of integral-invariants in terms of integrals / 117.：
The theorem of Lie and Koenigs / 118.：
The last multiplier / 119.：
Derivation of an integral from two multipliers / 120.：
Application of the last multiplier to Hamiltonian systems; use of a single known integral / 121.：
Integral-invariants whose order is equal to the order of the system / 122.：
Reduction of differential equations to the Lagrangian form / 123.：
Case in which the kinetic energy is quadratic in the velocities / 124.：
The Transformation-Theory of Dynamics / Chapter XI：
Hamilton's Characteristic Function and contact-transformations / 125.：
Contact-transformations in space of any number of dimensions / 126.：
The bilinear covariant of a general differential form / 127.：
The conditions for a contact-transformation expressed by means of the bilinear covariant / 128.：
The conditions for a contact-transformation in terms of Lagrange's bracket-expressions / 129.：
Poisson's bracket-expressions / 130.：
The conditions for a contact-transformation expressed by means of Poisson's bracket-expressions / 131.：
The sub-groups of Mathieu transformations and extended point-transformations / 132.：
Infinitesimal contact-transformations / 133.：
The resulting new view of dynamics / 134.：
Helmholtz's reciprocal theorem / 135.：
Jacobi's theorem on the transformation of a given dynamical system into another dynamical system / 136.：
Representation of a dynamical problem by a differential form / 137.：
The Hamiltonian function of the transformed equations / 138.：
Transformations in which the independent variable is changed / 139.：
New formulation of the integration-problem / 140.：
Properties of the Integrals of Dynamical Systems / Chapter XII：
Reduction of the order of a Hamiltonian system by use of the energy integral / 141.：
Hamilton's partial differential equation / 142.：
Hamilton's integral as a solution of Hamilton's partial differential equation / 143.：
The connexion of integrals with infinitesimal transformations admitted by the system / 144.：
Poisson's theorem / 145.：
The constancy of Lagrange's bracket-expressions / 146.：
Involution-systems / 147.：
Solution of a dynamical problem when half the integrals are known / 148.：
Levi-Civita's theorem / 149.：
Systems which possess integrals linear in the momenta / 150.：
Determination of the forces acting on a system for which an integral is known / 151.：
Application to the case of a particle whose equations of motion possess an integral quadratic in the velocities / 152.：
General dynamical systems possessing integrals quadratic in the velocities / 153.：
The Reduction of the Problem of Three Bodies / Chapter XIII：
Introduction / 154.：
The differential equations of the problem / 155.：
Jacobi's equation / 156.：
Reduction to the 12th order, by use of the integrals of motion of the centre of gravity / 157.：
Reduction to the 8th order, by use of the integrals of angular momentum and elimination of the nodes / 158.：
Reduction to the 6th order / 159.：
Alternative reduction of the problem from the 18th to the 6th order / 160.：
The problem of three bodies in a plane / 161.：
The restricted problem of three bodies / 162.：
Extension to the problem of n bodies / 163.：
The Theorems of Bruns and Poincare / Chapter XIV：
Bruns' theorem / 164.：
Statement of the theorem / (i)：
Expression of an integral in terms of the essential coordinates of the problem / (ii)：
An integral must involve the momenta / (iii)：
Only one irrationality can occur in the integral / (iv)：
Expression of the integral as a quotient of two real polynomials / (v)：
Derivation of integrals from the numerator and denominator of the quotient / (vi)：
Proof that [phi][subscript 0] does not involve the irrationality / (vii)：
Proof that [phi][subscript 0] is a function only of the momenta and the integrals of angular momentum / (viii)：
Proof that [phi][subscript 0] is a function of T, L, M, N / (ix)：
Deduction of Bruns' theorem, for integrals which do not involve t / (x)：
Extension of Bruns' result to integrals which involve the time / (xi)：
Poincare's theorem / 165.：
The equations of motion of the restricted problem of three bodies
Statement of Poincare's theorem
Proof that [phi][subscript 0] is not a function of H[subscript 0]
Proof that [phi][subscript 0] cannot involve the variables q[subscript 1], q[subscript 2]
Proof that the existence of a one-valued integral is inconsistent with the result of (iii) in the general case
Removal of the restrictions on the coefficients B[subscript m1, m2]
Deduction of Poincare's theorem
The General Theory of Orbits / Chapter XV：
Periodic solutions / 166.：
A criterion for the discovery of periodic orbits / 168.：
Asymptotic solutions / 169.：
The orbits of planets in the relativity-theory / 170.：
The motion of a particle on an ellipsoid under no external forces / 171.：
Ordinary and singular periodic solutions / 172.：
Characteristic exponents / 173.：
Characteristic exponents when t does not occur explicitly / 174.：
The characteristic exponents of a system which possesses a one-valued integral / 175.：
The theory of matrices / 176.：
The characteristic exponents of a Hamiltonian system / 177.：
The asymptotic solutions of [section] 170 deduced from the theory of characteristic exponents / 178.：
The characteristic exponents of "ordinary" and "singular" periodic solutions / 179.：
Lagrange's three particles / 180.：
Stability of Lagrange's particles: periodic orbits in the vicinity / 181.：
The stability of orbits as affected by terms of higher order in the displacement / 182.：
Attractive and repellent regions of a field of force / 183.：
Application of the energy integral to the problem of stability / 184.：
Application of integral-invariants to investigations of stability / 185.：
Synge's "Geometry of Dynamics" / 186.：
Connexion with the theory of surface transformations / 187.：
Integration by Series / Chapter XVI：
The need for series which converge for all values of the time; Poincare's series / 188.：
The regularisation of the problem of three bodies / 189.：
Trigonometric series / 190.：
Removal of terms of the first degree from the energy function / 191.：
Determination of the normal coordinates by a contact-transformation / 192.：
Transformation to the trigonometric form of H / 193.：
Other types of motion which lead to equations of the same form / 194.：
The problem of integration / 195.：
Determination of the adelphic integral in Case I / 196.：
An example of the adelphic integral in Case I / 197.：
The question of convergence / 198.：
Use of the adelphic integral in order to complete the integration / 199.：
The fundamental property of the adelphic integral / 200.：
Determination of the adelphic integral in Case II / 201.：
An example of the adelphic integral in Case II / 202.：
Determination of the adelphic integral in Case III / 203.：
An example of the adelphic integral in Case III / 204.：
Completion of the integration of the dynamical system in Cases II and III / 205.：
Index of Authors Quoted
Index of Terms Employed
Foreword / Sir William McCrea, FRS
Preface to the fourth edition
Kinematical Preliminaries / Chapter I：
66.
図書
editor, Karolina Havrilla
出版情報:
Commack, N.Y. : Nova Science Publishers, [1988] ix, 399 p. ; 24 cm
シリーズ名:
IMEKO TC ; no. 18
子書誌情報:
loading…
所蔵情報:
loading…
67.
図書
Barbour, Julian B.
目次情報:
続きを見る
Preface
Acknowledgements
Introduction to Volumes I and II
Preliminaries / 1：
Aristotle: first airing of the absolute/relative problem / 2：
Hellenistic astronomy: the foundations are laid / 3：
The Middle Ages: first stirrings of the scientific revolution / 4：
Copernicus: the flimsy arch / 5：
Kepler: the dominion of the sun / 6：
Galileo: the geometrization of motion / 7：
Descartes and the new world / 8：
Huygens: relativity and centrifugal force / 9：
Newton I: the discovery of dynamics / 10：
Newton II: absolute or relative motion? / 11：
Post-Newtonian conceptual clarification of Newtonian dynamics / 12：
Abbreviations for works quoted frequently in the references
References
Index
Preface
Acknowledgements
Introduction to Volumes I and II
68.
図書
Reinhardt M. Rosenberg
69.
図書
E. Atlee Jackson
出版情報:
Cambridge [Cambridgeshire] : Cambridge University Press, 1989-1990 2 v. ; 26 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Preface
Acknowledgements
Models based on second order difference equations / 6：
Models based on third order differential systems / 7：
'Moderate-order' systems / 8：
Solitaires: solitons and nonsolitons / 9：
Coupled maps (CM) and cellular automata (CA) / 10：
Epilogue
Appendices
Bibliography
References
Cumulative Index (Volumes 1 and 2).
Preface
Acknowledgements
Models based on second order difference equations / 6：
70.
図書
Michihiro Kitahara
71.
図書
J.B. Griffiths
出版情報:
Cambridge : Cambridge University Press, 1985 xiv, 315 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
The Newtonian method / 1：
Space, time and vector notation / 2：
Force, mass and the law of motion / 3：
Newtonian relativity / 4：
Newtonian gravitation / 5：
Particle dynamics / 6：
Systems of several particles / 7：
Rigid body dynamics / 8：
Analytical dynamics / 9：
Variational principles / 10：
Hamilton-Jacobi theory / 11：
The Newtonian method / 1：
Space, time and vector notation / 2：
Force, mass and the law of motion / 3：
72.
図書
Ferdinand P. Beer, E. Russell Johnston, Jr
出版情報:
New York : McGraw-Hill, c1984 xvi, 1-428 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
73.
図書
by Curtis T. McMullen
目次情報:
続きを見る
Background in conformal geometry
Dynamics of rational maps
Holomorphic motions and the Mandelbrot set Compactness in holomorphic dynamics
Polynomials and external rays
Renormalization Puzzles and infinite renormalization
Robustness Limits of renormalization
Real quadratic polynomials
Background in conformal geometry
Dynamics of rational maps
Holomorphic motions and the Mandelbrot set Compactness in holomorphic dynamics
74.
図書
A. Frank D'Souza, Vijay K. Garg
出版情報:
Englewood Cliffs, N.J. : Prentice-Hall, c1984 x, 358 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
75.
図書
Robert L. Devaney
出版情報:
Redwood City, Calif. ; Wokingham : Addison-Wesley, c1987 xii, 320 p. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
76.
図書
by Arthur Gordon Webster
出版情報:
New York : Dover Publications, 1959 xi, 588 p. ; 21 cm
シリーズ名:
Dover books on science
子書誌情報:
loading…
所蔵情報:
loading…
77.
図書
Helena E. Nusse, James A. Yorke ; accompanying computer program Dynamics coauthored by Eric J. Kostelich
78.
図書
Lan Wen
79.
図書
Patricia Melin and Oscar Castillo
80.
図書
edited by Werner Schiehlen and Michael Valášek
目次情報:
続きを見る
List of Participants
Preface
Opening Address
Nonlinear Multibody Dynamics
Non-Linear Dynamics of Multibody Systems With Generalized and Non-generalized Coordinates / A. A. Shabana
Geometrical Interpretation of Multibody Dynamics: Theory and Implementations / W. Blajer
Virtual Prototyping of Multibody Systems With Linear Graph Theory and Symbolic Computing / J. J. McPhee
Impact of Rigid and Flexible Multibody Systems: Deformation Description and Contact Models / J. A. C. Ambrosio
Model Reduction Techniques in Flexible Multibody Dynamics / P. E. Nikravesh
Unilateral Problems of Dynamics / F. Pfeiffer
Frictional Contact of Spatial Multibody Systems With Kinematic Loops / J. Pfister ; P. Eberhard
Virtual Multibody System
Virtual Assembly in Multibody Dynamics / W. Schiehlen ; C. Scholz
Numerical Simulation of Flexible Multibody Systems by Using a Virtual Rigid Body Model / M. Pascal ; T. Gagarina
A Virtual Multibody and Finite Element Analysis Environment in the Field of Aerospace Crashworthiness / H. M. Lankarani ; G. Olivares ; H. Nagarajan
Virtual Proving Ground Simulation for Highway Safety Research and Vehicle Design / E. J. Haug ; L. D. Chen ; Y. Papelis ; D. Solis
Design of Redundant Parallel Robots by Multidisciplinary Virtual Modelling / Z. Sika ; M. Valasek ; V. Bauma ; T. Vampola
Knowledge Support for Virtual Modelling and Simulation / P. Steinbauer ; Z. Zdrahal ; P. Mulholland
DAViD - A Multibody Virtual Dummy for Vibrational Comfort Analysis of Car Occupants / P.P. Valentini ; L. Vita
Control Design and Mechatronic
Design of Nonlinear Control of Nonlinear Multibody Systems
Control and Optimization of Semi-passively Actuated Multibody Systems / V. E. Berbyuk
Optimization of Passive and Active Dynamic Systems / D. Bestle ; M. Glora
Symofros: A Virtual Environment for Modeling, Simulation and Real-Time Implementation of Multibody System Dynamics and Control / J. C. Piedboeuf ; J. Kovecses ; B. Moore ; R. L'Archeveque
Simulation of an Active Control System in a Hot-Dip Galvanizing Line / O. Bruls ; J.-C. Golinval
Challenging Applications
Multibody System Dynamics in Ocean Engineering / K. Ellermann ; E. Kreuzer
Snake-Like Locomotions of Multilink Systems / F. L. Chernousko
Optimization of Rigid and Flexible Multibody Systems With application to Vehicle Dynamics and Crashworthiness / M. S. Pereira ; J. P. Dias
Multibody System Contact Dynamics Simulation / E. Zahariev
Parallel Computing in the Context of Multibody System Dynamics / A. Muller
Coupled Multibody-Aerodynamic Simulation of High-Speed Trains Manoeuvres / A. Carrarini
The Development of a Real-Time Multibody Vehicle Dynamics and Control Model for a Low Cost Virtual Reality Vehicle Simulator: An Application to Adaptive Cruise Control / S.-S. Kim ; M. Won
Virtual Reconstruction of Impaired Human Hearing / A. Eiber ; H.-G. Freitag ; C. Breuninger
Index
List of Participants
Preface
Opening Address
81.
図書
Olivier Babelon, Denis Bernard, Michel Talon
目次情報:
続きを見る
Introduction / 1：
Integrable dynamical systems / 2：
Synopsis of integrable systems / 2.1：
Algebraic methods / 4：
The Liouville theorem / 5：
Analytical methods
The closed Toda chain / 2.3：
Action-angle variables
The Calogero-Moser model / 7：
Lax pairs / 8：
Isomonodromic deformations
Grassmannian and integrable hierarchies / 2.5：
Existence of an r-matrix
The KP hierarchy / 10：
Commuting flows / 11：
The KdV hierarchy
The Toda field theories / 2.7：
The Kepler problem
Classical inverse scattering method / 13：
The Euler top / 14：
Symplectic geometry
Riemann surfaces / 2.9：
The Lagrange top
Lie algebras / 16：
Index
The Kowalevski top
The Neumann model / 2.11：
Geodesics on an ellipsoid / 2.12：
Separation of variables in the Neumann model / 2.13：
Examples of Lax pairs with spectral parameter / 3.1：
The Zakharov-Shabat construction / 3.2：
Coadjoint orbits and Hamiltonian formalism / 3.3：
Elementary flows and wave function / 3.4：
Factorization problem / 3.5：
Tau-functions / 3.6：
Integrable field theories and monodromy matrix / 3.7：
Abelianization / 3.8：
Poisson brackets of the monodromy matrix / 3.9：
The group of dressing transformations / 3.10：
Soliton solutions / 3.11：
The classical and modified Yang-Baxter equations / 4.1：
Algebraic meaning of the classical Yang-Baxter equations / 4.2：
Adler-Kostant-Symes scheme / 4.3：
Construction of integrable systems / 4.4：
Solving by factorization / 4.5：
The open Toda chain / 4.6：
The r-matrix of the Toda models / 4.7：
Solution of the open Toda chain / 4.8：
Toda system and Hamiltonian reduction / 4.9：
The Lax pair of the Kowalevski top / 4.10：
The spectral curve / 5.1：
The eigenvector bundle / 5.2：
The adjoint linear system / 5.3：
Time evolution / 5.4：
Theta-functions formulae / 5.5：
Baker-Akhiezer functions / 5.6：
Linearization and the factorization problem / 5.7：
Symplectic form / 5.8：
Separation of variables and the spectral curve / 5.10：
Riemann surfaces and integrability / 5.11：
Infinite-dimensional systems / 5.13：
The model / 6.1：
The eigenvectors / 6.2：
Reconstruction formula / 6.4：
Symplectic structure / 6.5：
The Sklyanin approach / 6.6：
The Poisson brackets / 6.7：
Reality conditions / 6.8：
The spin Calogero-Moser model / 7.1：
Lax pair / 7.2：
The r-matrix / 7.3：
The scalar Calogero-Moser model / 7.4：
Reconstruction formulae / 7.5：
Poles systems and double-Bloch condition / 7.9：
Hitchin systems / 7.11：
Examples of Hitchin systems / 7.12：
The trigonometric Calogero-Moser model / 7.13：
Monodromy data / 8.1：
Isomonodromy and the Riemann-Hilbert problem / 8.3：
Schlesinger transformations / 8.4：
Ricatti equation / 8.6：
Sato's formula / 8.8：
The Hirota equations / 8.9：
Tau-functions and theta-functions / 8.10：
The Painleve equations / 8.11：
Fermions and GL [infinity] / 9.1：
Boson-fermion correspondence / 9.3：
Tau-functions and Hirota bilinear identities / 9.4：
The KP hierarchy and its soliton solutions / 9.5：
Fermions and Grassmannians / 9.6：
Schur polynomials / 9.7：
From fermions to pseudo-differential operators / 9.8：
The Segal-Wilson approach / 9.9：
The algebra of pseudo-differential operators / 10.1：
The Baker-Akhiezer function of KP / 10.2：
Algebro-geometric solutions of KP / 10.4：
The tau-function of KP / 10.5：
The generalized KdV equations / 10.6：
KdV Hamiltonian structures / 10.7：
Bihamiltonian structure / 10.8：
The Drinfeld-Sokolov reduction / 10.9：
Whitham equations / 10.10：
Solution of the Whitham equations / 10.11：
The KdV equation / 11.1：
Hamiltonian structures and Virasoro algebra / 11.2：
Algebro-geometric solutions / 11.4：
Finite-zone solutions / 11.6：
Analytical description of solitons / 11.7：
Local fields / 11.9：
Whitham's equations / 11.10：
The Liouville equation / 12.1：
The Toda systems and their zero-curvature representations / 12.2：
Solution of the Toda field equations / 12.3：
Hamiltonian formalism / 12.4：
Conformal structure / 12.5：
Dressing transformations / 12.6：
The affine sinh-Gordon model / 12.7：
Dressing transformations and soliton solutions / 12.8：
N-soliton dynamics / 12.9：
The sine-Gordon equation / 12.10：
The Jost solutions / 13.2：
Inverse scattering as a Riemann-Hilbert problem / 13.3：
Time evolution of the scattering data / 13.4：
The Gelfand-Levitan-Marchenko equation / 13.5：
Poisson brackets of the scattering data / 13.6：
Poisson manifolds and symplectic manifolds / 13.8：
Coadjoint orbits / 14.2：
Symmetries and Hamiltonian reduction / 14.3：
The case M = T*G / 14.4：
Poisson-Lie groups / 14.5：
Action of a Poisson-Lie group on a symplectic manifold / 14.6：
The groups G and G* / 14.7：
Smooth algebraic curves / 14.8：
Hyperelliptic curves / 15.2：
The Riemann-Hurwitz formula / 15.3：
The field of meromorphic functions of a Riemann surface / 15.4：
Line bundles on a Riemann surface / 15.5：
Divisors / 15.6：
Chern class / 15.7：
Serre duality / 15.8：
The Riemann-Roch theorem / 15.9：
Abelian differentials / 15.10：
Riemann bilinear identities / 15.11：
Jacobi variety / 15.12：
Theta-functions / 15.13：
The genus 1 case / 15.14：
The Riemann-Hilbert factorization problem / 15.15：
Lie groups and Lie algebras / 16.1：
Semi-simple Lie algebras / 16.2：
Linear representations / 16.3：
Real Lie algebras / 16.4：
Affine Kac-Moody algebras / 16.5：
Vertex operator representations / 16.6：
Introduction / 1：
Integrable dynamical systems / 2：
Synopsis of integrable systems / 2.1：
82.
図書
M. Lakshmanan, S. Rajasekar
83.
図書
Katsuhiko Ogata
出版情報:
Upper Saddle River, N.J. : Pearson Prentice Hall, c2004 ix, 768 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Introduction / 1：
The Laplace Transform / 2：
Mechanical Systems / 3：
Electrical Systems / 4：
Fluid Systems and Thermal Systems / 5：
Linear Systems Analyses in the Time Domain / 6：
Linear Systems Analysis in the Frequency Domain / 7：
Analysis and Design of Control Systems in the Time Domain / 8：
Analysis and Design of Control Systems in the Frequency Domain / 9：
Mathematical Modeling of Dynamic Systems in State Space / 10：
Discrete-Time Systems / 11：
Systems of Units / Appendix A：
Conversion Tables / Appendix B：
Vector-Matrix Analysis / Appendix C：
References
Index
Introduction / 1：
The Laplace Transform / 2：
Mechanical Systems / 3：
84.
図書
Oliver M. O'Reilly
出版情報:
New York : Springer, c2001 xvi, 203 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Dedication
Preface
Weekly Course Content
Elementary Particle Dynamics
Particles and Cylindrical Polar Coordinates
Particles and Space Curves
Frictional Forces and Spring Forces
Power, Work and Energy
Momenta, Impulses and Collisions
Systems of Particles
Planar Kinematics of Rigid Bodies
Kinetics of a Rigid Body
Systems of Particles and Rigid Bodies
Appendix: Preliminaries on Vectors and Calculus
Bibliography
Dedication
Preface
Weekly Course Content
85.
図書
Ronald L. Huston, C.Q. Liu
目次情報:
続きを見る
Preface
Introduction / Chapter 1：
Preparatory Remarks / 1.1：
Postulates / 1.2：
Newton's Laws and Other Fundamental Principles / 1.3：
Gravity and Weight / 1.4：
Systems of Units/Conversion Factors / 1.5：
Dimensions / 1.6：
References
Vector Analysis and Preliminary Considerations / Chapter 2：
Fundamental Concepts / 2.1：
Addition of Vectors--Geometric Method / 2.3：
Difference of Vectors / 2.4：
Multiplication of Vectors by Scalars / 2.5：
Addition of Vectors--Analytical Method / 2.6：
Vector Representations / 2.7：
Examples: Addition of Force Vectors / 2.8：
Vector Multiplication--Scalar Product / 2.9：
Vector Multiplication--Vector Product / 2.10：
Examples: Moments of Force Systems / 2.11：
Included Angle Between Two Vectors / 2.12：
Example: Projection of a Vector Along a Line / 2.13：
Multiple Products of Vectors / 2.14：
Examples: Multiple Products of Vectors / 2.15：
Vector Functions and Their Derivatives / 2.16：
Examples: Vector Differentiation / 2.17：
Kronecker's Delta and Permutation Symbols / 2.18：
Dyads, Dyadics and Second Order Tensors / 2.19：
Direction Cosines and Transformation Matrices / 2.20：
Rotation Dyadics / 2.21：
Derivatives of Transformation Matrices / 2.22：
Eigenvalues and Eigenvectors / 2.23：
Kinematics of Particles / Chapter 3：
Position Vectors--Cartesian Representations / 3.1：
Position Vectors--Polar, Cylindrical and Spherical Representations / 3.3：
Position Vector Summary Data / 3.4：
Unit Vector Derivatives / 3.5：
Velocity / 3.6：
Acceleration / 3.7：
Summary Data / 3.8：
Angular Velocity / 3.9：
Angular Acceleration / 3.10：
Rigid Bodies and Reference Frames / 3.11：
Relative Velocity / 3.12：
Relative Acceleration / 3.13：
Relative Velocity of Two Particles of a Rigid Body / 3.14：
Relative Acceleration of Two Particles of a Rigid Body / 3.15：
Velocity of a Particle Moving Relative to a Moving Body / 3.16：
Acceleration of a Particle Moving Relative to a Moving Body / 3.17：
Summary of Particle Kinematic Formulas / 3.18：
Application: Motion of a Particle in a Straight Line / 3.19：
Application: Motion of a Particle in a Circle / 3.20：
Application: Projectile Motion / 3.21：
Particle Kinetics / Chapter 4：
Applied (Active) Forces / 4.1：
Gravity Forces / 4.3.1：
Contact Forces / 4.3.2：
Inertia (Passive) Forces / 4.4：
Generalized Forces--Kinematic Preliminaries / 4.5：
Coordinates / 4.5.1：
Constraints / 4.5.2：
Degrees of Freedom / 4.5.3：
Partial Velocity Vectors / 4.5.4：
Generalized Applied (or Active) Forces / 4.6：
Generalized Inertia (or Passive) Forces / 4.7：
Associated Applied (or Active) Kinetic Quantities / 4.8：
Impulse / 4.8.1：
Potential Energy / 4.8.2：
Work / 4.8.3：
Associated Intertia (or Passive) Kinetic Quantities / 4.9：
Linear Momentum / 4.9.1：
Angular Momentum / 4.9.2：
Kinetic Energy / 4.9.3：
Summary of Formulas for Associated Applied (Active) and Inertia (Passive) Force Quantities / 4.10：
Particle Dynamics / Chapter 5：
Principles of Dynamics/Laws of Motion / 5.1：
Application: Dynamics of a Simple Pendulum / 5.3：
Determination of Unknown Constraint Force or Moment Components / 5.4：
Application: The Linear Oscillator (Mass-Spring-Damper System) / 5.5：
Application: Impact / 5.6：
Application: Direct Impact / 5.8：
Application: Oblique Impact / 5.9：
Summary, Comparison of Methods/Formulas / 5.10：
Kinematics of Bodies / Chapter 6：
Orientation of Bodies / 6.1：
Configuration Graphs / 6.3：
Transformation Matrices for Various Rotation Sequences / 6.4：
Definitions / 6.5：
Remarks / 6.5.2：
Uniqueness of Angular Velocity / 6.5.3：
Alternative Definition and Forms for Angular Velocity / 6.5.4：
Simple Angular Velocity / 6.5.5：
Summary / 6.5.6：
Differentiation Algorithms / 6.6：
Addition Theorem for Angular Velocity / 6.7：
Angular Velocity Components for Various Rotation Sequences / 6.8：
Definition / 6.9：
Addition Theorem / 6.9.2：
Computation Algorithms / 6.9.3：
Velocity of Particles, or Points, of a Body / 6.10：
Relative Velocity of Two Points of a Body / 6.10.1：
Motion Classification / 6.10.3：
Center of Rotation / 6.10.4：
Velocity of a Point Moving Relative to a Moving Body / 6.10.5：
Acceleration of Particles, or Points, of a Body / 6.11：
Relative Acceleration of Two Points of a Body / 6.11.1：
Acceleration of a Point Moving Relative to a Moving Body / 6.11.2：
Rolling / 6.12：
Partial Angular Velocity / 6.13：
Additional Topics/Formulas in Kinematics of Bodies / 6.14：
Properties of Rotation Dyadics / 7.1：
Body Rotation and Rotation Dyadics / 7.4：
Singularities Occurring with Orientation Angles / 7.5：
Euler Parameters / 7.6：
Differentiation of Transformation Matrices / 7.7：
Euler Parameters and Angular Velocity / 7.8：
Mass Distribution and Inertia / Chapter 8：
First Moment Vectors / 8.1：
Mass Center/Center of Gravity / 8.3：
Second Moment Vectors / 8.4：
Moments and Products of Inertia / 8.5：
Geometric Interpretation of Moments and Products of Inertia, Axes of Inertia / 8.6：
Radius of Gyration / 8.7：
Inertia Dyadic / 8.8：
Parallel Axis Theorem / 8.9：
Principal Direction, Principal Axes, and Principal Moments of Inertia / 8.10：
Discussion: Principal Directions, Principal Axes, and Principal Moments of Inertia--Additional Formulas and Interpretations / 8.11：
Maximum and Minimum Moments of Inertia / 8.11.1：
Inertia Ellipsoid / 8.11.2：
Non-Distinct Roots of the Hamilton-Cayley Equation / 8.11.3：
Invariants of the Inertia Dyadic / 8.11.4：
Hamilton-Cayley Equation / 8.11.5：
Central Inertia Dyadic and Other Geometrical Results / 8.11.6：
Planar Bodies; Polar Moments of Inertia / 8.12：
Inertia Properties for Commonly Shaped Uniform Bodies / 8.13：
Rigid Body Kinetics / Chapter 9：
Useful Formulas from the Kinematics of Bodies / 9.1：
Summary of Concepts and Formulas for Force Systems on Bodies / 9.3：
Partial Velocity and Partial Angular Velocity / 9.4：
Generalized Forces / 9.5：
Gravitational Forces Exerted by the Earth on a Body / 9.6：
Gravitational Moment of Orthogonal, Nonintersecting Rods / 9.7：
Gravitational Forces on a Satellite / 9.8：
Generalized Forces on Rigid Bodies / 9.9：
Applied and Inertia Forces / 9.10：
Generalized Applied (Active) Forces / 9.11：
Contribution of Gravity (or Weight) Forces to the Generalized Active Forces / 9.11.1：
Contribution of Internal Forces Between the Particles of a Rigid Body to the Generalized Active Forces / 9.11.2：
Contribution to Generalized Forces by Forces Exerted Across Smooth Surfaces Internal to a Mechanical System / 9.11.3：
Contribution to Generalized Forces by Forces Exerted at Points with Specified Motion / 9.11.4：
Contribution to Generalized Forces by Forces Transmitted Across Rolling Surfaces of Bodies / 9.11.5：
Contribution to Generalized Forces by Forces Exerted by Springs Between Bodies Internal to a Mechanical System / 9.11.6：
Inertia Forces on a Rigid Body / 9.12：
Generalized Inertia Forces / 9.13：
Rigid Body Dynamics / 9.14：
Newton's laws/d'Alembert's Principle / 10.1：
Kane's Equations / 10.8：
Lagrange's Equations / 10.9：
Lagrange's Equations with Simple Non-holonomic Systems / 10.10：
Momentum Principles / 10.11：
Work-Energy / 10.12：
Other Dynamics Principles and Formulas / 10.13：
Virtual Work / 10.13.1：
Virtual Power, Jourdain's Principle / 10.13.2：
Comment on the Principles of Virtual Work and Virtual Power / 10.13.3：
Gibbs Equations / 10.13.4：
Hamilton's Principle / 10.13.5：
Hamilton's Cononical Equations / 10.13.6：
Example Problems/Systems / Chapter 11：
Double-Rod Pendulum / 11.1：
Triple-Rod Pendulum / 11.3：
The N-Rod Pendulum / 11.4：
Rolling Circular Disk on a Flat Horizontal Surface / 11.5：
Use of d'Alembert's Principle / 11.5.1：
Use of Kane's Equations / 11.5.2：
Use of Lagrange's Equations / 11.5.3：
Elementary Solution: Straight Line Rolling / 11.5.4：
Elementary Solution: Pivoting (Spinning) Disk / 11.5.5：
Elementary Solution: Disk Rolling in a Circle / 11.5.6：
Disk Striking and Rolling Over a Ledge / 11.6：
Summary of Results for a Thin Rolling Circular Disk / 11.7：
Governing Equations / 11.7.1：
Stability of Straight Line Rolling / 11.7.2：
Stability of Pivoting or Spinning / 11.7.3：
Disk Rolling in a Circle / 11.7.4：
Disk Rolling Over a Ledge or Step / 11.7.5：
A Cone Rolling on an Inclined Plane / 11.8：
A Spinning Rigid Projectile / 11.9：
Law of Gyroscopes / 11.10：
A Translating Rod Striking a Ledge / 11.11：
Pinned Double Rods Striking a Ledge in Translation / 11.12：
A Plate Striking a Ledge at a Corner of the Plate / 11.13：
Multibody Systems / Chapter 12：
Types of Multibody Systems / 12.1：
Lower Body Arrays / 12.3：
Orientation Angles and Transformation Matrices / 12.4：
Multibody Kinematics / 12.5：
Coordinates, Degrees of Freedom / 13.1：
Orientation Angles and Euler Parameters / 13.3：
Generalized Speeds / 13.4：
Illustrative Application with a Multibody System / 13.5：
Coordinates and Degrees of Freedom / 13.5.1：
Angular Velocities / 13.5.2：
Partial Angular Velocity Vectors / 13.5.3：
Joint and Mass Center Position Vectors / 13.6：
Position Vectors / 13.8.1：
Mass Center Position Vectors for the Example Multibody System / 13.8.2：
Generalization / 13.8.3：
Mass Center Velocities / 13.9：
Mass Center Accelerations / 13.10：
Multibody Kinetics and Dynamics / 13.11：
Applied Forces Between Bodies and at Connecting Joints / 14.1：
Generalized Inertia (Passive) Forces / 14.4：
Multibody Dynamics and Equations of Motion / 14.5：
Constrained Multibody Dynamics / 14.6：
Solution Procedures for Constrained System Equations / 14.7：
Comments and Closure / 14.8：
Index
Preface
Introduction / Chapter 1：
Preparatory Remarks / 1.1：
86.
図書
Steven H. Strogatz
出版情報:
Cambridge, Mass. : Perseus Books, 2000, c1994 xi, 498 p., 4 p. of plates ; 24 cm
シリーズ名:
Studies in nonlinearity
子書誌情報:
loading…
所蔵情報:
loading…
87.
図書
V.S. Anishchenko ... [et al.]
88.
図書
R.C. Hibbeler
89.
図書
L.A. Bunimovich ... [et al.] ; edited by D. Szász
目次情報:
続きを見る
Mathematics / Part I：
A Geometric Approach to Semi-Dispersing Billiards / D. Burago ; S. Ferleger ; A. Kononenko1：
On the Sequences of Collisions Among Hard Spheres in Infinite Spacel / T. J. Murphy ; E. G. D. Cohen2：
Hard Ball Systems and Semi-Dispersive Billiards: Hyperbolicity and Ergodicity / N. Simanyi3：
Decay of Correlations for Lorentz Gases and Hard Balls / N. Chernov ; L.-S Young4：
Entropy Values and Entropy Bounds / 5：
Existence of Transport Coefficients / L. A. Bunimovich6：
Interacting Particles / C. Liverani7：
Scaling Dynamics of a Massive Piston in an Ideal Gas / J. L. Lebowitz ; J. Piasecki ; Ya G. Sinai8：
Physics / Part II：
Kinetic Theory Estimates for the Kolmogorov-Sinai Entropy, and the Largest Lyapunov Exponents for Dilute, Hard-Ball Gases and for Dilute, Random Lorentz Gases / H. van Beijeren ; R. van Zon ; J. R. Dorfman
Simulation of Billiards and of Hard-Body Fluids / H. A. Posch ; R. Hirschl
The Lorentz Gas: a Paradigm for Nonequilibrium Stationary States / C. P. Dettmann
T. Tl, J. Vollmer: Entropy Balance, Multibaker Maps, and the Dynamics of the Lorentz Gas
Boltzmanns Ergodic Hypothesis, a Conjecture for Centuries? / D. SzaszAppendix 1：
Mathematics / Part I：
A Geometric Approach to Semi-Dispersing Billiards / D. Burago ; S. Ferleger ; A. Kononenko1：
On the Sequences of Collisions Among Hard Spheres in Infinite Spacel / T. J. Murphy ; E. G. D. Cohen2：
90.
図書
A.R. Holowenko
出版情報:
New York : Wiley, c1955 vii, 464 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
91.
図書
Mark Newman, Albert-László Barabási, Duncan J. Watts, editors
目次情報:
続きを見る
Preface
Introduction / Chapter 1：
A brief history of the study of networks / 1.1：
The "new" science of networks / 1.2：
Overview of the volume / 1.3：
Historical developments / Chapter 2：
Chain-links / F. Karinthy
Connectivity of random nets / R. Solomonoff ; A. Rapoport
On the evolution of random graphs / P. Erdos ; P. Erdo os ; A. Renyi ; A. Reacutenyi
Contacts and influence / I. de S. Pool ; M. Kochen
An experimental study of the small world problem / J. Travers ; S. Milgram
Networks of scientific papers / D. J. de S. Price
Famous trails to Paul Erdos / R. de Castro ; J. W. Grossman
Famous trails to Paul ErdA? os / Chapter 3：
Empirical Studies
Diameter of the world-wide web / R. Albert ; H. Jeong ; A.-L. Barabasi ; A.-L. Barabaacutesi
Graph structure in the web / A. Broder et al. ; A. Broder et al
On power-law relationships of the internet topology / M. Faloutsos ; P. Faloutsos ; C. Faloutsos
Classes of small-world networks / L.A.N. Amaral ; L. A. N. Amaral ; A. Scala ; M. Barthelemy ; M. Bartheacuteleacutemy ; H. E. Stanley
The large-scale organization of metabolic networks / H. Jeong et al. ; H. Jeong et al
The small world of metabolism / A. Wagner ; D. Fell
Network motifs: Simple building blocks of complex networks / R. Milo et al. ; R. Milo et al
The structure of scientific collaboration networks / M. E. J. Newman
The web of human sexual contacts / F. Liljeros et al. ; F. Liljeros et al
Models of networks / Chapter 4：
Random graph models / 4.1：
A critical point for random graphs with a given degree sequence / M. Molloy ; B. Reed
A random graph model for massive graphs / W. Aiello ; F. Chung ; L. Lu
Random graphs with arbitrary degree distributions and their applications / M.E.J. Newman ; S. H. Strogatz ; D. J. Watts
Random graphs with arbitrary degree distributions and their applica-tions / 4.2：
The small-world model
Collective dynamics of 'small-world' networks
Small-world networks: Evidence for a crossover picture
Comment on 'Small-world networks: Evidence for crossover picture' / A. Barrat ; A. Barrat, 1999
Comment on'Small-world networks: Evidence for crossover picture'
Scaling and percolation in the small-world network model / M. E. J. New-man
On the properties of small-world networks, 2000 / M. Weigt ; M. Weigt, 2000
On the properties of small-world networks / 4.3：
Models of scale-free networks
Emergence of scaling in random networks
Structure of growing networks with preferential linking / S. N. Dorogovtsev ; S. N. Dorogov-tsev ; J. F. F. Mendes ; A. N. Samukhin
Connectivity of growing random networks / P. L. Krapivsky ; S. Redner ; F. Leyvraz
Competition and multiscaling in evolving networks / G. Bianconi
Universal behavior of load distribution in scale-free networks / K.-I. Goh ; B. Kahng ; D. Kim
Spectra of "real-world" graphs: Beyond the semicircle law / I. J. Farkas ; I. Derenyi ; I. Dereacutenyi ; T. Vicsek
The degree sequence of a scale-free random graph process / B. Bollobas ; B. Bol-lobaacutes ; O. Riordan ; J. Spencer ; G. Tusnady ; G. Tusnaacutedy
A model of large-scale proteome evolution / R. V. Sole ; R. V. Soleacute ; R. Pastor-Satorras ; E. Smith ; T. B. Kepler
Modeling of protein interaction networks / A. Vazquez ; A. Vaacutezquez ; A. Flammini ; A. Maritan ; A. Vespignani
Applications / Chapter 5：
Epidemics and rumors / 5.1：
Robustness of networks / 5.2：
Searching networks / 5.3：
Epidemics with two levels of mixing / F. Ball ; D. Mollison ; G. Scalia-Tomba
The effects of local spatial structure on epidemiological invasions / M. J. Keeling
Small world effect in an epidemiological model / M. Kuperman ; G. Abramson
Epidemic spreading in scale-free networks
A simple model of global cascades on random networks
Error and attack tolerance of complex networks / A.-L. Barabási Resili
Resilience of the Internet to random breakdowns / R. Cohen ; K. Erez ; D. ben-Avraham ; S. Havlin
Network robustness and fragility: Percolation on random graphs / D. S. Callaway
Authoritative sources in a hyperlinked environment / J. M. Kleinberg
Search in power-law networks / L. A. Adamic ; R. M. Lukose ; A. R. Puniyani ; B. A. Huberman
Navigation in a small world
Outlook / Chapter 6：
References
Index
Preface
Introduction / Chapter 1：
A brief history of the study of networks / 1.1：
92.
図書
Hans Irschik, Alexander K. Belyaev, editors
93.
図書
by Ajit Sadana, Neeti Sadana
出版情報:
Amsterdam ; London : Elsevier Science, 2011 xi, 524 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Introduction / 1：
Modelling and Theory / 2：
Fabrication of Biosensors / 3：
Biosensors Involved in Drug Discovery / 4：
Nanobiosensors / 5：
Binding of the Same Analyte to Different Biosensor Surfaces / 6：
Binding of the Same Analyte (Glucose) to Different Biosensor Surfaces: A Fractal Analysis / 7：
Medical Applications of Biosensors / 8：
Physiological Cellular Reactions Detection on Biosensor Surfaces: A Fractal Analysis / 9：
Detection of Gases on Biosensor Surfaces / 10：
Detection of Analytes on Arrays/Microarrays/DNA Chips / 11：
Binding and Dissociation Kinetics of Different Analytes on Novel Biosensing Surfaces: A Fractal Analysis / 12：
Binding of Different Analytes on Biosensor Surfaces / 13：
Toxins and Pollutants Detection on Biosensor Surfaces / 14：
Fractal Analysis of the Binding and Kinetics of Protein Markers / 15：
Binding and Dissociation of Hybridization on Biosensor Surfaces / 16：
Economics of Biosensors / 17：
Introduction / 1：
Modelling and Theory / 2：
Fabrication of Biosensors / 3：
94.
図書
N. Jeremy Kasdin and Derek A. Paley
出版情報:
Princeton, N.J. : Princeton University Press, c2011 xiii, 672 p. ; 27 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Preface
Introduction / Chapter 1：
What Is Dynamics? / 1.1：
Organization of the Book / 1.2：
Key Ideas / 1.3：
Notes and Further Reading / 1.4：
Problems / 1.5：
Newtonian Mechanics / Chapter 2：
Newton's Laws / 2.1：
A Deeper Look at Newton's Second Law / 2.2：
Building Models and the Free-Body Diagram / 2.3：
Constraints and Degrees of Freedom / 2.4：
A Discussion of Units / 2.5：
Tutorials / 2.6：
Particle Dynamics in the Plane / 2.7：
Planar Kinematics and Kinetics of a Particle / Chapter 3：
The Simple Pendulum / 3.1：
More on Vectors and Reference Frames / 3.2：
Velocity and Acceleration in the Inertial Frame / 3.3：
Inertial Velocity and Acceleration in a Rotating Frame / 3.4：
The Polar Frame and Fictional Forces / 3.5：
An Introduction to Relative Motion / 3.6：
How to Solve a Dynamics Problem / 3.7：
Derivations-Properties of the Vector Derivative / 3.8：
Linear and Angular Momentum of a Particle / 3.9：
Linear Momentum and Linear Impulse / 4.1：
Angular Momentum and Angular Impulse / 4.2：
Energy of a Particle / 4.3：
Work and Power / 5.1：
Total Work and Kinetic Energy / 5.2：
Work Due to an Impulse / 5.3：
Conservative Forces and Potential Energy / 5.4：
Total Energy / 5.5：
Derivations-Conservative Forces and Potential Energy / 5.6：
Planar Motion of a Multiparticle System / 5.7：
Linear Momentum of a Multiparticle System / Chapter 6：
Linear Momentum of a System of Particles / 6.1：
Impacts and Collisions / 6.2：
Mass Flow / 6.3：
Angular Momentum and Energy of a Multiparticle System / 6.4：
Angular Momentum of a System of Particles / 7.1：
Angular Momentum Separation / 7.2：
Total Angular Momentum Relative to an Arbitrary Point / 7.3：
Work and Energy of a Multiparticle System / 7.4：
Relative Motion and Rigid-Body Dynamics in Two Dimensions / 7.5：
Relative Motion in a Rotating Frame / Chapter 8：
Rotational Motion of a Planar Rigid Body / 8.1：
Planar Kinetics in a Rotating Frame / 8.2：
Dynamics of a Planar Rigid Body / 8.4：
A Rigid Body Is a Multiparticle System / 9.1：
Translation of the Center of Mass-Euler's First Law / 9.2：
Rotation about the Center of Mass- Euler's Second Law / 9.3：
Rotation about an Arbitrary Body Point / 9.4：
Work and Energy of a Rigid Body / 9.5：
A Collection of Rigid Bodies and Particles / 9.6：
Dynamics in Three Dimensions / 9.7：
Particle Kinematics and Kinetics in Three Dimensions / Chapter 10：
Two New Coordinate Systems / 10.1：
The Cylindrical and Spherical Reference Frames / 10.2：
Linear Momentum, Angular Momentum, and Energy / 10.3：
Relative Motion m Three Dimensions / 10.4：
Derivations-Euler's Theorem and the Angular Velocity / 10.5：
Multiparticle and Rigid-Body Dynamics in Three Dimensions / 10.6：
Euler's Laws in Three Dimensions / 11.1：
Three-Dimensional Rotational Equations of Motion of a Rigid Body / 11.2：
The Moment Transport Theorem and the Parallel Axis Theorem in Three Dimensions / 11.3：
Dynamics of Multibody Systems in Three Dimensions / 11.4：
Rotating the Moment of Inertia Tensor / 11.5：
Angular Impulse in Three Dimensions / 11.6：
Work and Energy of a Rigid Body in Three Dimensions / 11.7：
Advanced Topics / 11.8：
Some Important Examples / Chapter 12：
An Introduction to Vibrations and Linear Systems / 12.1：
Linearization and the Linearized Dynamics of an Airplane / 12.2：
Impacts of Finite-Sized Particles / 12.3：
An Introduction to Analytical Mechanics / 12.4：
Generalized Coordinates / 13.1：
Degrees of Freedom and Constraints / 13.2：
Lagrange's Method / 13.3：
Kane's Method / 13.4：
Appendices / 13.5：
A Brief Review of Calculus / Appendix A：
Continuous Functions / A.1：
Differentiation / A.2：
Integration / A.3：
Higher Derivatives and the Taylor Series / A.4：
Multivariable Functions and the Gradient / A.5：
The Directional Derivative / A.6：
Differential Volumes and Multiple Integration / A.7：
Vector Algebra and Useful Identities / Appendix B：
The Vector / B.1：
Vector Magnitude / B.2：
Vector Components / B.3：
Vector Multiplication / B.4：
Differential Equations / Appendix C：
What Is a Differential Equation? / C.1：
Some Common ODEs and Their Solutions / C.2：
First-Order Form / C.3：
Numerical Integration of an Initial Value Problem / C.4：
Using Matlab to Solve ODEs / C.5：
Moments of Inertia of Selected Bodies / Appendix D：
Bibliography
Index
Preface
Introduction / Chapter 1：
What Is Dynamics? / 1.1：
95.
図書
P.P. Teodorescu ; [translated from Romanian by Emil Geles]
出版情報:
București : Editura Academiei Republicii Socialiste România , Tunbridge Wells [Eng.] : Abacus Press, 1975 411 p. ; 25 cm
子書誌情報:
loading…
所蔵情報:
loading…
96.
図書
Y. Kuramoto
出版情報:
Mineola, N.Y. : Dover Publications, 2003 vi, 156 p. ; 24 cm
子書誌情報:
loading…
所蔵情報:
loading…
目次情報:
続きを見る
Introduction / 1.：
Methods / Part I：
Reductive Perturbation Method / 2.：
Oscillators Versus Fields of Oscillators / 2.1：
The Stuart-Landau Equation / 2.2：
Onset of Oscillations in Distributed Systems / 2.3：
The Ginzburg-Landau Equation / 2.4：
Method of Phase Description / 3.：
Systems of Weakly Coupled Oscillators / 3.1：
One-Oscillator Problem / 3.2：
Nonlinear Phase Diffusion Equation / 3.3：
Representation by the Floquet Eigenvectors / 3.4：
Case of the Ginzburg-Landau Equation / 3.5：
Method of Phase Description II / 4.：
Systematic Perturbation Expansion / 4.1：
Generalization of the Nonlinear Phase Diffusion Equation / 4.2：
Dynamics of Slowly Varying Wavefronts / 4.3：
Dynamics of Slowly Phase-Modulated Periodic Waves / 4.4：
Applications / Part II：
Mutual Entrainment / 5.：
Synchronization as a Mode of Self-Organization / 5.1：
Phase Description of Entrainment / 5.2：
One Oscillator Subject to Periodic Force / 5.2.1：
A Pair of Oscillators with Different Frequencies / 5.2.2：
Many Oscillators with Frequency Distribution / 5.2.3：
Calculation of [Gamma] for a Simple Model / 5.3：
Soluble Many-Oscillator Model Showing Synchronization-Desynchronization Transitions / 5.4：
Oscillators Subject to Fluctuating Forces / 5.5：
One Oscillator Subject to Stochastic Forces / 5.5.1：
A Pair of Oscillators Subject to Stochastic Forces / 5.5.2：
Many Oscillators Which are Statistically Identical / 5.5.3：
Statistical Model Showing Synchronization-Desynchronization Transitions / 5.6：
Bifurcation of Collective Oscillations / 5.7：
Chemical Waves / 6.：
Synchronization in Distributed Systems / 6.1：
Some Properties of the Nonlinear Phase Diffusion Equation / 6.2：
Development of a Single Target Pattern / 6.3：
Development of Multiple Target Patterns / 6.4：
Phase Singularity and Breakdown of the Phase Description / 6.5：
Rotating Wave Solution of the Ginzburg-Landau Equation / 6.6：
Chemical Turbulence / 7.：
Universal Diffusion-Induced Turbulence / 7.1：
Phase Turbulence Equation / 7.2：
Wavefront Instability / 7.3：
Phase Turbulence / 7.4：
Amplitude Turbulence / 7.5：
Turbulence Caused by Phase Singularities / 7.6：
Appendix
Plane Wave Solutions of the Ginzburg-Landau Equation / A.：
The Hopf Bifurcation for the Brusselator / B.：
References
Subject Index
Introduction / 1.：
Methods / Part I：
Reductive Perturbation Method / 2.：
97.
図書
Robert Rosen
98.
図書
Ali H. Nayfeh, Balakumar Balachandran
99.
図書
edited by G.I. Barenblatt, G. Iooss, D.D. Joseph
100.
図書
Leonard Meirovitch
目次情報:
続きを見る
Preface
Fundamentals of Newtonian Mechanics / Chapter 1：
Historical Survey of Mechanics / 1.1：
Newton's Laws / 1.2：
Impulse and Momentum / 1.3：
Moment of a Force and Angular Momentum / 1.4：
Work and Energy / 1.5：
Energy Diagrams / 1.6：
Systems of Particles / 1.7：
The Two-Body Central Force Problem / 1.8：
The Inverse Square Law. Orbits of Planets and Satellites / 1.9：
Scattering by a Repulsive Central Force / 1.10：
Problems
Suggested References
Fundamentals of Analytical Mechanics / Chapter 2：
Degrees of Freedom. Generalized Coordinates / 2.1：
Systems with Constraints / 2.2：
The Stationary Value of a Function / 2.3：
The Stationary Value of a Definite Integral / 2.4：
The Principle of Virtual Work / 2.5：
D'Alembert's Principle / 2.6：
Hamilton's Principle / 2.7：
Lagrange's Equations of Motion / 2.8：
Lagrange's Equations for Impulsive Forces / 2.9：
Conservation Laws / 2.10：
Routh's Method for the Ignoration of Coordinates / 2.11：
Rayleigh's Dissipation Function / 2.12：
Hamilton's Equations / 2.13：
Motion Relative to Rotating Reference Frames / Chapter 3：
Transformation of Coordinates / 3.1：
Rotating Coordinate Systems / 3.2：
Expressions for the Motion in Terms of Moving Reference Frames / 3.3：
Motion Relative to the Rotating Earth / 3.4：
Motion of a Free Particle Relative to the Rotating Earth / 3.5：
Foucault's Pendulum / 3.6：
Rigid Body Dynamics / Chapter 4：
Kinematics of a Rigid Body / 4.1：
The Linear and Angular Momentum of a Rigid Body / 4.2：
Translation Theorem for the Angular Momentum / 4.3：
The Kinetic Energy of a Rigid Body / 4.4：
Principal Axes / 4.5：
The Equations of Motion for a Rigid Body / 4.6：
Euler's Equations of Motion / 4.7：
Euler's Angles / 4.8：
Moment-Free Inertially Symmetric Body / 4.9：
General Case of a Moment-Free Body / 4.10：
Motion of a Symmetric Top / 4.11：
The Lagrangian Equations for Quasi-Coordinates / 4.12：
The Equations of Motion Referred to an Arbitrary System of Axes / 4.13：
The Rolling of a Coin / 4.14：
Behavior of Dynamical Systems. Geometric Theory / Chapter 5：
Fundamental Concepts / 5.1：
Motion of Single-Degree-of-Freedom Autonomous Systems about Equilibrium Points / 5.2：
Conservative Systems. Motion in the Large / 5.3：
The Index of Poincare / 5.4：
Limit Cycles of Poincare / 5.5：
Stability of Multi-Degree-of-Freedom Autonomous Systems / Chapter 6：
General Linear Systems / 6.1：
Linear Autonomous Systems / 6.2：
Stability of Linear Autonomous Systems. Routh-Hurwitz Criterion / 6.3：
The Variational Equations / 6.4：
Theorem on the First-Approximation Stability / 6.5：
Variation from Canonical Systems. Constant Coefficients / 6.6：
The Liapunov Direct Method / 6.7：
Geometric Interpretation of the Liapunov Direct Method / 6.8：
Stability of Canonical Systems / 6.9：
Stability in the Presence of Gyroscopic and Dissipative Forces / 6.10：
Construction of Liapunov Functions for Linear Autonomous Systems / 6.11：
Nonautonomous Systems / Chapter 7：
Linear Systems with Periodic Coefficients. Floquet's Theory / 7.1：
Stability of Variational Equations with Periodic Coefficients / 7.2：
Orbital Stability / 7.3：
Variation from Canonical Systems. Periodic Coefficients / 7.4：
Second-Order Systems with Periodic Coefficients / 7.5：
Hill's Infinite Determinant / 7.6：
Mathieu's Equation / 7.7：
Analytical Solutions by Perturbation Techniques / 7.8：
The Fundamental Perturbation Technique / 8.1：
Secular Terms / 8.2：
Lindstedt's Method / 8.3：
The Krylov-Bogoliubov-Mitropolsky (KBM) Method / 8.4：
A Perturbation Technique Based on Hill's Determinants / 8.5：
Periodic Solutions of Nonautonomous Systems. Duffing's Equation / 8.6：
The Method of Averaging / 8.7：
Transformation Theory. The Hamilton-Jacobi Equation / Chapter 9：
The Principle of Least Action / 9.1：
Contact Transformations / 9.2：
Further Extensions of the Concept of Contact Transformations / 9.3：
Integral Invariants / 9.4：
The Lagrange and Poisson Brackets / 9.5：
Infinitesimal Contact Transformations / 9.6：
The Hamilton-Jacobi Equation / 9.7：
Separable Systems / 9.8：
Action and Angle Variables / 9.9：
Perturbation Theory / 9.10：
The Gyroscope: Theory and Applications / Chapter 10：
Oscillations of a Symmetric Gyroscope / 10.1：
Effect of Gimbal Inertia on the Motion of a Free Gyroscope / 10.2：
Effect of Rotor Shaft Flexibility on the Frequency of Oscillation of a Free Gyroscope / 10.3：
The Gyrocompass / 10.4：
The Gyropendulum. Schuler Tuning / 10.5：
Rate and Integrating Gyroscopes / 10.6：
Problems in Celestial Mechanics / Chapter 11：
Kepler's Equation. Orbit Determination / 11.1：
The Many-Body Problem / 11.2：
The Three-Body Problem / 11.3：
The Restricted Three-Body Problem / 11.4：
Stability of Motion Near the Lagrangian Points / 11.5：
The Equations of Relative Motion. Disturbing Function / 11.6：
Gravitational Potential and Torques for an Arbitrary Body / 11.7：
Precession and Nutation of the Earth's Polar Axis / 11.8：
Variation of the Orbital Elements / 11.9：
The Resolution of the Disturbing Function / 11.10：
Problems in Spacecraft Dynamics / Chapter 12：
Transfer Orbits. Changes in the Orbital Elements Due to a Small Impulse / 12.1：
Perturbations of a Satellite Orbit in the Gravitational Field of an Oblate Planet / 12.2：
The Effect of Atmospheric Drag on Satellite Orbits / 12.3：
The Attitude Motion of Orbiting Satellites. General Considerations / 12.4：
The Attitude Stability of Earth-Pointing Satellites / 12.5：
The Attitude Stability of Spinning Symmetrical Satellites / 12.6：
Variable-Mass Systems / 12.7：
Rocket Dynamics / 12.8：
Dyadics / Appendix A：
Elements of Topology and Modern Analysis / Appendix B：
Sets and Functions / B.1：
Metric Spaces / B.2：
Topological Spaces / B.3：
Name Index
Subject Index
Preface
Fundamentals of Newtonian Mechanics / Chapter 1：
Historical Survey of Mechanics / 1.1：
図書
