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1.

図書

図書
by E.T. Whittaker
出版情報: [S.l.] : [s.n.], [1937?]  xiv, 456 p ; 25 cm
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2.

図書

図書
Patricia Melin and Oscar Castillo
出版情報: London : Taylor & Francis, 2002  xi, 249 p. ; 26 cm.
シリーズ名: Numerical insights / series editor, A. Sydow ; v. 2
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3.

図書

図書
J.M.T. Thompson and H.B. Stewart
出版情報: Chichester [West Sussex] : Wiley, c2002  xxii, 437 p. ; 23 cm
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Preface
Preface to the First Edition
Acknowledgements from the First Edition
Introduction / 1:
Historical background / 1.1:
Chaotic dynamics in Duffing's oscillator / 1.2:
Attractors and bifurcations / 1.3:
Basic Concepts of Nonlinear Dynamics / Part I:
An overview of nonlinear phenomena / 2:
Undamped, unforced linear oscillator / 2.1:
Undamped, unforced nonlinear oscillator / 2.2:
Damped, unforced linear oscillator / 2.3:
Damped, unforced nonlinear oscillator / 2.4:
Forced linear oscillator / 2.5:
Forced nonlinear oscillator: periodic attractors / 2.6:
Forced nonlinear oscillator: chaotic attractor / 2.7:
Point attractors in autonomous systems / 3:
The linear oscillator / 3.1:
Nonlinear pendulum oscillations / 3.2:
Evolving ecological systems / 3.3:
Competing point attractors / 3.4:
Attractors of a spinning satellite / 3.5:
Limit cycles in autonomous systems / 4:
The single attractor / 4.1:
Limit cycle in a neural system / 4.2:
Bifurcations of a chemical oscillator / 4.3:
Multiple limit cycles in aeroelastic galloping / 4.4:
Topology of two-dimensional phase space / 4.5:
Periodic attractors in driven oscillators / 5:
The Poincare map / 5.1:
Linear resonance / 5.2:
Nonlinear resonance / 5.3:
The smoothed variational equation / 5.4:
Variational equation for subharmonics / 5.5:
Basins of attraction by mapping techniques / 5.6:
Resonance of a self-exciting system / 5.7:
The ABC of nonlinear dynamics / 5.8:
Chaotic attractors in forced oscillators / 6:
Relaxation oscillations and heartbeat / 6.1:
The Birkhoff-Shaw chaotic attractor / 6.2:
Systems with nonlinear restoring force / 6.3:
Stability and bifurcations of equilibria and cycles / 7:
Liapunov stability and structural stability / 7.1:
Centre manifold theorem / 7.2:
Local bifurcations of equilibrium paths / 7.3:
Local bifurcations of cycles / 7.4:
Basin changes at local bifurcations / 7.5:
Prediction of incipient instability / 7.6:
Iterated Maps as Dynamical Systems / Part II:
Stability and bifurcation of maps / 8:
Stability of one-dimensional maps / 8.1:
Bifurcations of one-dimensional maps / 8.3:
Stability of two-dimensional maps / 8.4:
Bifurcations of two-dimensional maps / 8.5:
Basin changes at local bifurcations of limit cycles / 8.6:
Chaotic behaviour of one- and two-dimensional maps / 9:
General outline / 9.1:
Theory for one-dimensional maps / 9.2:
Bifurcations to chaos / 9.3:
Bifurcation diagram of one-dimensional maps / 9.4:
Henon map / 9.5:
Flows, Outstructures, and Chaos / Part III:
The geometry of recurrence / 10:
Finite-dimensional dynamical systems / 10.1:
Types of recurrent behaviour / 10.2:
Hyperbolic stability types for equilibria / 10.3:
Hyperbolic stability types for limit cycles / 10.4:
Implications of hyperbolic structure / 10.5:
The Lorenz system / 11:
A model of thermal convection / 11.1:
First convective instability / 11.2:
The chaotic attractor of Lorenz / 11.3:
Geometry of a transition to chaos / 11.4:
Rossler's band / 12:
The simply folded band in an autonomous system / 12.1:
Return map and bifurcations / 12.2:
Smale's horseshoe map / 12.3:
Transverse homoclinic trajectories / 12.4:
Spatial chaos and localized buckling / 12.5:
Geometry of bifurcations / 13:
Local bifurcations / 13.1:
Global bifurcations in the phase plane / 13.2:
Bifurcations of chaotic attractors / 13.3:
Applications in the Physical Sciences / Part IV:
Subharmonic resonances of an offshore structure / 14:
Basic equation and non-dimensional form / 14.1:
Analytical solution for each domain / 14.2:
Digital computer program / 14.3:
Resonance response curves / 14.4:
Effect of damping / 14.5:
Computed phase projections / 14.6:
Multiple solutions and domains of attraction / 14.7:
Chaotic motions of an impacting system / 15:
Resonance response curve / 15.1:
Application to moored vessels / 15.2:
Period-doubling and chaotic solutions / 15.3:
Escape from a potential well / 16:
Analytical formulation / 16.1:
Overview of the steady-state response / 16.3:
The two-band chaotic attractor / 16.4:
Resonance of the steady states / 16.5:
Transients and basins of attraction / 16.6:
Homoclinic phenomena / 16.7:
Heteroclinic phenomena / 16.8:
Indeterminate bifurcations / 16.9:
Appendix
Illustrated Glossary
Bibliography
Online Resources
Index
Preface
Preface to the First Edition
Acknowledgements from the First Edition
4.

図書

図書
by Ajit Sadana, Neeti Sadana
出版情報: Amsterdam ; London : Elsevier Science, 2011  xi, 524 p. ; 24 cm
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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:
5.

図書

図書
Richard J. Szabo
出版情報: London : Imperial College Press, c2011  xv, 148 p. ; 24 cm
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Preface to Second Edition
Preface to First Edition
A Brief History of String Theory / Chapter 1:
Classical String Theory / Chapter 2:
The Relativistic Particle / 2.1:
Reparametrization Invariance / 2.1.1:
Examples / 2.1.2:
The Bosonic String / 2.2:
Worldsheet Symmetries / 2.2.1:
String Equations of Motion / 2.3:
Mode Expansions / 2.3.1:
Mass-Shell Constraints / 2.3.2:
Quantization of the Bosonic String / Chapter 3:
Canonical Quantization / 3.1:
Normal Ordering / 3.1.1:
The Physical String Spectrum / 3.2:
The Open String Spectrum / 3.2.1:
The Closed String Spectrum / 3.2.2:
Worldsheet-Spacetime Interplay / 3.2.3:
Vertex Operators / 3.3:
String Perturbation Theory / 3.3.1:
Chan-Paton Factors / 3.5:
Superstrings / Chapter 4:
Motivation / 4.1:
The RNS Superstring / 4.2:
The Superstring Spectrum / 4.2.1:
The Open Superstring Spectrum / 4.3.1:
The Closed Superstring Spectrum / 4.3.2:
The GSO Projection / 4.4:
Spacetime Supersymmetry / 4.4.1:
Example: One-Loop Vacuum Amplitude / 4.5:
Fermionic Spin Structures / 4.5.1:
Ramond-Ramond Charges and T-Duality / Chapter 5:
Ramond-Ramond Charges / 5.1:
Remarks on Superstring Types / 5.1.1:
Type II Ramond-Ramond States / 5.1.2:
T-Duality for Closed Strings / 5.1.3:
String Geometry / 5.2.1:
T-Duality for Open Strings / 5.3:
T-Duality for Type II Superstrings / 5.4:
D-Branes and Gauge Theory / Chapter 6:
D-Branes / 6.1:
Wilson Lines / 6.2:
D-Brane Terminology / 6.2.1:
Collective Coordinates for D-Branes / 6.3:
Non-Abelian Gauge Symmetry / 6.3.1:
The Born-Infeld Action / 6.4:
D-Brane Dynamics / Chapter 7:
The Dirac-Born-Infeld Action / 7.1:
Example / 7.1.1:
Supergravity Couplings / 7.1.2:
Supersymmetric Yang-Mills Theory / 7.2:
Forces Between D-Branes / 7.2.1:
BPS States / 7.3.1:
Ramond-Ramond Couplings of D-Branes / Chapter 8:
D-Brane Anomalies / 8.1:
Chern-Simons Actions / 8.2:
Branes within Branes / 8.3:
Solutions to Exercises / Chapter 9:
Bibliography
Index
Preface to Second Edition
Preface to First Edition
A Brief History of String Theory / Chapter 1:
6.

図書

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
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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:
7.

図書

図書
Helena E. Nusse, James A. Yorke
出版情報: New York : Springer, c1998  xvi, 608 p., [8] p. of plates ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 101
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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:
8.

図書

図書
Richard A. Layton
出版情報: New York : Springer, c1998  xiii, 155 p. ; 24 cm
シリーズ名: Mechanical engineering series
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9.

図書

図書
Francis C. Moon
出版情報: New York : Wiley, c1998  xi, 492 p. ; 25 cm
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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
10.

図書

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
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