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1.

図書
図書
1. The nonlinear Schrödinger equation : self-focusing and wave collapse
Catherine Sulem, Pierre-Louis Sulem
出版情報: New York ; Tokyo : Springer, c1999  xvi, 350 p. ; 24 cm
シリーズ名: Applied mathematical sciences ; v. 139
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2.

図書
図書
2. Global solutions of nonlinear Schrödinger equations
J. Bourgain
出版情報: Providence, RI : American Mathematical Society, c1999  viii, 182 p. ; 26 cm
シリーズ名: Colloquium publications / American Mathematical Society ; v. 46
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Introduction and summary
An overview of results on the Cauchy problem for NLS
Further comments 3D $H^1$-critical defocusing NLS Global wellposedness below energy norm
Nonlinear Schrodinger equation with periodic boundary conditions
Growth of Sobolev norms in linear
Schrodinger equations with smooth time dependent potential
Zakharov systems
References
Index
Introduction and summary
An overview of results on the Cauchy problem for NLS
Further comments 3D $H^1$-critical defocusing NLS Global wellposedness below energy norm
3.

図書
図書
3. Control of nonlinear differential algebraic equation systems : with applications to chemical processes (: pbk)
Aditya Kumar, Prodromos Daoutidis
出版情報: Boca Raton : Chapman & Hall/CRC, c1999  168 p. ; 24 cm
シリーズ名: Research notes in mathematics ; 397
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4.

図書
図書
4. Nonlinear analysis and continuum mechanics : papers for the 65th birthday of James Serrin (: (alk. paper))
Giuseppe Buttazzo ... [et al.], editors
出版情報: New York : Springer, c1998  x, 148 p. ; 25 cm
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5.

図書
図書
5. Nonlinear system techniques and applications (cloth : alk. paper)
Julius S. Bendat
出版情報: New York : Wiley, c1998  xiii, 474 p. ; 24 cm
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Linear Systems, Random Data
Zero-Memory Nonlinear Systems
Direct and Reverse MI/SO
Techniques for Analysis and Identification of Nonlinear Systems
Parallel Linear and Nonlinear Systems
Determination of Physical Parameters with Memory in Nonlinear Systems
Nonlinear System Response Properties of a Naval Frigate from Measured Ocean Engineering Data
Nonlinear System Response Properties of a Naval Barge from Measured Ocean Engineering Data
Bilinear and Trilinear Systems
Input Output Relations for Bilinear and Trilinear Systems
References
Index
Glossary of Symbols
Linear Systems, Random Data
Zero-Memory Nonlinear Systems
Direct and Reverse MI/SO
6.

図書
図書
6. Laws of chaos : invariant measures and dynamical systems in one dimension (: us ; : sz)
Abraham Boyarsky, Pawel Góra
出版情報: Boston, Mass : Birkhauser, c1997  xv, 399 p. ; 24 cm
シリーズ名: Probability and its applications
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7.

図書
図書
7. Some nonlinear problems in Riemannian geometry
Thierry Aubin
出版情報: Berlin : Springer-Verlag, 1998  xvii, 395 p. ; 25 cm
シリーズ名: Springer monographs in mathematics
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8.

図書
図書
8. Algebraic integrability of nonlinear dynamical systems on manifolds : classical and quantum aspects
by Anatoliy K. Prykarpatsky and Ihor V. Mykytiuk
出版情報: Dordrecht : Kluwer Academic Press, c1998  553 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 443
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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：
9.

図書
図書
9. Optima and equilibria : an introduction to nonlinear analysis. 2nd ed
Jean-Pierre Aubin ; translated from the French by Stephen Wilson
出版情報: Berlin ; New York : Springer-Verlag, 1998  xvii, 429 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 140
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10.

図書
図書
10. Nonlinear theory of shallow shells (: softcover)
I.I. Vorovich ; English edition edited by L.P. Lebedev ; translated by Michael Grinfeld
出版情報: New York : Springer, c1999  xvi, 388 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 133
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11.

図書
図書
11. Classical nonintegrability, quantum chaos (: Basel ; : Boston)
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
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12.

図書
図書
12. Thinking in complexity : the complex dynamics of matter, mind, and mankind. 3rd rev. and enl. ed
Klaus Mainzer
出版情報: Berlin ; Tokyo : Springer, c1997  xiv, 361 p. ; 25 cm
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13.

図書
図書
13. From nonlinearity to coherence : universal features of nonlinear behaviour in many-body physics
J.M. Dixon, J.A. Tuszyński, P.A. Clarkson
出版情報: New York : Oxford University Press, c1997  xv, 608 p.
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Premable
Introductory concepts / 1：
Phase transitions and criticality / 2：
Elementary excitations in solids / 3：
Quantum field theory background / 4：
The method of coherent structures (MCS) / 5：
The physical application of MCS / 6：
Mathematical methods and results / 7：
Concusions / 8：
appendices
Premable
Introductory concepts / 1：
Phase transitions and criticality / 2：
14.

図書
図書
14. Introduction to nonlinear physics
Lui Lam, editor
出版情報: New York : Springer, c1997  xiv, 417 p. ; 25 cm
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15.

図書
図書
15. Infinite-dimensional dynamical systems in mechanics and physics. 2nd ed (: softcover)
Roger Temam
出版情報: New York : Springer, c1997  xxi, 648 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 68
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16.

図書
図書
16. Introduction to nonlinear science (: pbk)
G. Nicolis
出版情報: Cambridge ; New York : Cambridge University Press, 1995  xv, 254 p. ; 25-26 cm
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Preface
Nonlinear behavior in the physical sciences and biology: some typical examples / 1：
Quantitative formulation / 2：
Dynamical systems with a finite number of degrees of freedom / 3：
Linear stability analysis of fixed points / 4：
Nonlinear behavior around fixed points: bifurcation analysis / 5：
Spatially distributed systems, broken symmetries, pattern formation / 6：
Chaotic dynamics / 7：
Appendices
References
Index
Preface
Nonlinear behavior in the physical sciences and biology: some typical examples / 1：
Quantitative formulation / 2：
17.

図書
図書
17. Thermodynamics of chaotic systems : an introduction (: pbk)
Christian Beck and Friedrich Schlögl
出版情報: Cambridge : Cambridge University Press, 1995, c1993  xx, 286 p. ; 23 cm
シリーズ名: Cambridge nonlinear science series ; 4
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Introduction
Essentials of Nonlinear Dynamics / Part I：
Nonlinear mappings / 1：
Probability in the theory of chaotic systems / 2：
Symbolic dynamics / 3：
Essentials of Information Theory and Thermodynamics / Part II：
The Shannon information / 4：
Further information measures / 5：
Generalized canonical distributions / 6：
The fundamental thermodynamic relations / 7：
Spin systems / 8：
Thermostatistics of Multifractals / Part III：
Escort distributions / 9：
Fractals / 10：
Multifractals / 11：
Bit cumulants in multifractal distribution / 12：
Thermodynamics of a finite volume / 13：
Dynamical Analysis of Chaotic Systems / Part IV：
Statistics of dynamical symbol sequences / 14：
Expansion rate and information loss / 15：
The topological pressure / 16：
Transfer operator methods / 17：
Repellers and escape / 18：
Advanced Thermodynamics / Part V：
Thermodynamics of expanding maps / 19：
Thermodynamics with several intensive parameters / 20：
Phase transitions / 21：
Introduction
Essentials of Nonlinear Dynamics / Part I：
Nonlinear mappings / 1：
18.

図書
図書
18. Nonlinear computer modeling of chemical and biochemical data
James F. Rusling, Thomas F. Kumosinski
出版情報: San Diego : Academic Press, c1996  xv, 268 p. ; 24 cm
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General Introduction to Regression Analysis / Part I：
Introduction to Nonlinear Modeling of Data: What is Nonlinear Modeling? Objectives of this Book
Anayzing Data with Regression Analysis: Linear Models
Nonlinear Regression Analysis
Sources of Mathematics Software Capable of Linear and Nonlinear Regression
Building Models for Experimental Data: Sources of Data and Background Contributions
Examples of Model Types
Finding the Best Models
Correlation Between Parameters and Other Convergence Problems: Correlations and How to Minimize Them
Avoiding Pitfalls in Convergence
Selected Applications / Part II：
Titrations: Introduction
Macromolecular Equilibria and Kinetics: Linked Thermodynamic Models: The Concept of Linked Functions
Applications of Thermodynamic Linkage
Secondary Structure of Proteins by Infrared Spectroscopy: Introduction
Analysis of Spectra--Examples
Nuclear Magnetic Resonance Relaxation: Fundamentals of NMR Relaxation
Applications from NMR in Solution
Applications from NMR in the Solid State
Small-Angle X-Ray Scattering (SAXS) of Proteins: Theoretical Considerations
Applications
Ultracentrifugation of Macromolecules: Sedimentation
Voltammetric Methods: General Characteristics of Voltammetry
Steady State Voltammetry
Cyclic Voltammetry
Square Wave Voltammetry
Chronocoulometry: Basic Principles
Estimation of Diffusion Coefficients
Surface Concentrations of Adsorbates from Double Potential Steps
Rate Constant for Reaction of a Product of an Electrochemical Reaction
Automated Resolution of Multiexponential Decay Data: Considerations for Analyses of Overlapped Signals
Automated Analysis of Data with an Unknown Number of Exponentials
Chromatography and Multichannel Detection Methods: Overlapped Chromatographic Peaks with Single-Channel Detection
Multichannel Detection
Appendix
Subject Index
General Introduction to Regression Analysis / Part I：
Introduction to Nonlinear Modeling of Data: What is Nonlinear Modeling? Objectives of this Book
Anayzing Data with Regression Analysis: Linear Models
19.

図書
図書
19. Lectures on non-linear plasma kinetics (: gw ; : us)
V.N. Tsytovich ; translation edited by D. ter Haar
出版情報: Berlin : Springer, c1995  xi, 376 p. ; 25 cm
シリーズ名: Springer series on atoms + plasmas ; 17
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20.

図書
図書
20. Predictability of complex dynamical systems
Yurii A. Kravtsov, James B. Kadtke (eds.)
出版情報: Berlin : Springer, c1996  xii, 234 p. ; 25 cm
シリーズ名: Springer series in synergetics ; 69
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21.

図書
図書
21. Recent mathematical methods in nonlinear wave propagation : lectures given at the 1st session of the Centro internazionale matematico estivo (C.I.M.E.), held in Montecatini Terme, Italy, May 23-31, 1994
G. Bolliat [sic.] ... [et al.] ; editor, T. Ruggeri
出版情報: Berlin : Springer, c1996  142 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1640 . Fondazione C.I.M.E.
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22.

雑誌
雑誌
22. Nonlinear processes in geophysics
European Geophysical Society
出版情報: Katlenburg-Lindau, Germany : European Geophysical Society  v. ; 28 cm
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23.

雑誌
雑誌
23. Nonlinear analysis : modelling and control
Lithuanian Association of Nonlinear Analysts, Lithuanian Academy of Sciences
出版情報: Vilnius : Institute of Mathematics and Informatics  v. ; 24 cm
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24.

図書
図書
24. Group-theoretical methods for integration of nonlinear dynamical systems (: sz ; : us)
A.N. Leznov, M.V. Saveliev ; translated from the Russian by D.A. Leites
出版情報: Basel ; Boston : Birkhäuser Verlag, 1992  xvii, 290 p. ; 24 cm
シリーズ名: Progress in physics ; v. 15
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25.

図書
図書
25. Classical and quantum dynamics : from classical paths to path integrals (: gw ; : us)
W. Dittrich, M. Reuter
出版情報: Berlin ; Tokyo : Springer-Verlag, c1992  341 p. ; 24 cm
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26.

図書
図書
26. Geometry and analysis in nonlinear dynamics (: us ; : uk)
H.W. Broer and F. Takens (editors)
出版情報: Burnt Mill, Harlow, Essex, England : Longman Scientific & Technical, 1992  134 p. ; 25 cm
シリーズ名: Pitman research notes in mathematics series ; 222
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27.

図書
図書
27. Nonlinear dynamics in solids (: gw ; : us ; : pbk)
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
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28.

図書
図書
28. Problems of nonlinear deformation : the continuation method applied to nonlinear problems in solid mechanics
E.I. Grigolyuk and V.I. Shalashilin
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1991  viii, 262 p. ; 25 cm
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29.

図書
図書
29. Nonlinear surface electromagnetic phenomena
volume editors, H.-E. Ponath, G.I. Stegeman
出版情報: Amsterdam ; New York : North Holland , New York, NY, USA : Sole distributors for the USA and Canada, Elsevier Science Pub. Co., 1991  xv, 654 p. ; 25 cm
シリーズ名: Modern problems in condensed matter sciences ; v. 29
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30.

図書
図書
30. Nonlinearities in action : oscillations, chaos, order, fractals (: Berlin ; : New York)
A.V. Gaponov-Grekhov, M.I. Rabinovich
出版情報: Berlin ; Tokyo : Springer-Verlag, c1992  xi, 191 p. ; 28 cm
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31.

図書
図書
31. Chaos, dynamics, and fractals : an algorithmic approach to deterministic chaos
Joseph L. McCauley
出版情報: Cambridge [England] ; New York : Cambridge University Press, 1993  xxi, 323 p. ; 24 cm
シリーズ名: Cambridge nonlinear science series ; 2
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目次情報: 続きを見る
Foreword
Introduction
Flows in phase space / 1：
Introduction to deterministic chaos / 2：
Conservative synamical systems / 3：
Fractals and fragmentation in phase space / 4：
The way to chaos by instability of quasiperiodic orbits / 5：
The way to chaos by period doubling / 6：
Multifractals / 7：
Statistical physics on chaotic symbol sequences / 8：
Universal chaotic dynamics / 9：
Intermittence in fluid dynamics / 10：
From flows to automata: chaotic systems as completely deterministic machines / 11：
References
Index
Foreword
Introduction
Flows in phase space / 1：
32.

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図書
32. Vector Lyapunov functions and stability analysis of nonlinear systems
by V. Lakshmikantham, V.M. Matrosov, and S. Sivasundaram
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1991  x, 172 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 63
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33.

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図書
33. The Enskog equation
N. Bellomo ... [et al.]
出版情報: Singapore ; Teaneck : World Scientific, c1991  xii, 207 p. ; 23 cm
シリーズ名: Series on advances in mathematics for applied sciences ; v. 1 . Mathematical topics in nonlinear kinetic theory ; v. 2
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34.

図書
図書
34. Chaotic behaviour of deterministic dissipative systems
Miloš Marek, Igor Schreiber
出版情報: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1991  x, 367 p. ; 25 cm
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Introduction
Differential equations, maps and asymptotic behaviour / 1：
Transition from order to chaos / 2：
Numerical methods for studies of parametric dependences, bifurcations and chaos / 3：
Chaotic dynamics in experiments / 4：
Forced and coupled chemical oscillators: a case study of chaos / 5：
Chaos in distributed systems / 6：
Appendices
Bibliography
Index
Introduction
Differential equations, maps and asymptotic behaviour / 1：
Transition from order to chaos / 2：
35.

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図書
35. Chaotic oscillations in mechanical systems
Tomasz Kapitaniak
出版情報: Manchester ; New York : Manchester University Press, c1991  x, 222 p. ; 24 cm
シリーズ名: Nonlinear science : theory and applications / series editor Arun V. Holden
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36.

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図書
36. Algebraic methods in nonlinear perturbation theory (: us ; : gw)
V.N. Bogaevski, A. Povzner
出版情報: New York ; Berlin : Springer-Verlag, c1991  xii, 265 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 88
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37.

図書
図書
37. Analogies between analogies : the mathematical reports of S.M. Ulam and his Los Alamos collaborators
S.M. Ulam ; edited by A.R. Bednarek and Françoise Ulam
出版情報: Berkeley : University of California Press, c1990  xvii, 565 p. ; 25 cm
シリーズ名: Los Alamos series in basic and applied sciences
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38.

図書
図書
38. Chemical oscillations and instabilities : non-linear chemical kinetics (: pbk)
Peter Gray and Stephen K. Scott
出版情報: Oxford [England] : Clarendon Press , New York : Oxford University Press, 1990  xvi, 453 p. ; 24 cm
シリーズ名: International series of monographs on chemistry ; 21
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Introduction / 1：
The Techniques / Part I：
Oscillations in a Closed Isothermal System / 2：
Oscillations in a Closed Isothermal System: Mathematical Analysis / 3：
Thermokinetic Oscillations in a Closed System / 4：
Hopf Bifurcations, the Growth of Small Oscillations, Relaxation Oscillations, and Excitability / 5：
Autocatalysis in Well-Stirred Systems: the Isothermal CSTR / 6：
Reaction in a Non-Isothermal CSTR: Stationary States and Singularity Theory / 7：
Oscillatory Behavior in the Isothermal CSTR: Autocatalytic Systems / 8：
Autocatalytic Reactions in Plug-Flow and Diffusion Reactors / 9：
Chemical Diffusion Pattern Formation (Turing Structures) / 10：
Travelling Waves / 11：
Heterogeneous Reactions / 12：
Complex Oscillations and Chemical Chaos / 13：
Experiments / Part II：
Experimental Systems 1: Solution-Phase Reactions / 14：
Experimental Systems / 15：
Introduction / 1：
The Techniques / Part I：
Oscillations in a Closed Isothermal System / 2：
39.

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図書
39. Non-linear phenomena in science and engineering (: pbk)
G. Rowlands
出版情報: New York ; London : E. Horwood, 1990  172 p. ; 25 cm
シリーズ名: Ellis Horwood series in physics and its applications
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40.

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図書
40. What is integrability? (: us ; : gw)
V.E. Zakharov (ed.) ; with contributions by F. Calogero ... [et al.]
出版情報: Berlin ; Tokyo : Springer-Verlag, c1991  xiv, 321 p. ; 25 cm
シリーズ名: Springer series in nonlinear dynamics
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41.

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図書
41. Nonlinear stochastic integrators, equations and flows
by René A. Carmona and David Nualart
出版情報: New York : Gordon and Breach Science Publishers, c1990  vii, 159 p. ; 24 cm
シリーズ名: Stochastics monographs : theory and applications of stochastic processes ; v. 6
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42.

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図書
42. Nonlinear estimation (: us ; : gw)
Gavin J.S. Ross
出版情報: New York ; Tokyo : Springer-Verlag, c1990  viii, 189 p. ; 25 cm
シリーズ名: Springer series in statistics
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43.

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図書
43. Mathematical structures of nonlinear science : an introduction
by Melvyn S. Berger
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1990  xii, 421 p. ; 25 cm
シリーズ名: Nonlinear topics in the mathematical sciences ; v. 1
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44.

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図書
44. Electro-diffusion of ions
Isaak Rubinstein
出版情報: Philadelphia : Society for Industrial and Applied Mathematics, 1990  ix, 254 p. ; 24 cm
シリーズ名: SIAM studies in applied mathematics ; 11
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目次情報: 続きを見る
Preface
Introduction
Nonlinear effects in electro-diffusional equilibrium
Locally electro-neutral electro-diffusion without electric current
Stationary current with local electro-neutrality
The nonequilibrium Space charge in one-dimensional electro-diffusion
A prototypical convective electro-diffusional phenomenon -electro-osmotic oscillations
References
Preface
Introduction
Nonlinear effects in electro-diffusional equilibrium
45.

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図書
45. Soliton phenomenology
by Vladimir G. Makhankov
出版情報: Dordrecht ; Boston : Kluwer Academic, c1990  xi, 452 p. ; 25 cm
シリーズ名: Mathematics and its applications ; . Soviet series ; v. 33
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46.

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図書
46. Non-linear time series : a dynamical system approach
Howell Tong
出版情報: Oxford : Clarendon , New York : Oxford University Press, c1990  xvi, 564 p. ; 24 cm
シリーズ名: Oxford statistical science series ; 6
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目次情報: 続きを見る
Introduction / 1：
An Introduction to Dynamical Systems / 2：
Some Non-Linear Time Series Models / 3：
Probability Structure / 4：
Statistical Aspects / 5：
Non-Linear Least Squares Prediction Based on Non-Linear Models / 6：
Case Studies / 7：
Introduction / 1：
An Introduction to Dynamical Systems / 2：
Some Non-Linear Time Series Models / 3：
47.

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図書
47. Chaotic dynamics of nonlinear systems
S. Neil Rasband
出版情報: New York : Wiley, c1990  x, 230 p. ; 25 cm
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One-Dimensional Maps
Universality Theory
Fractal Dimension
Differential Dynamics
Nonlinear Examples with Chaos
Two-Dimensional Maps
Conservative Dynamics
Measures of Chaos
Complexity and Chaos
Reprise
Glossary
References
Index
One-Dimensional Maps
Universality Theory
Fractal Dimension
48.

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図書
48. Integrable and superintegrable systems
edited by Boris A. Kupershmidt
出版情報: Singapore : World Scientific, c1990  viii, 388 p. ; 23 cm
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49.

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図書
49. Surveys on analysis, geometry and mathematical physics
edited by Bert-Wolfgang Schulze and Hans Triebel
出版情報: Leipzig : Teubner, c1990  308 p.
シリーズ名: Teubner-Texte zur Mathematik ; Bd. 117
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50.

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図書
50. Dimension estimation and models
editor, Howell Tong
出版情報: Singapore ; River Edge, NJ : World Scientific, c1993  vii, 223 p. ; 23 cm
シリーズ名: Nonlinear time series and chaos ; v. 1
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51.

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図書
51. Lie-Cartan-Ehresmann theory
Robert Hermann
出版情報: Brookline, Mass. : Math Sci Press, c1993  283 p. ; 24 cm
シリーズ名: Interdisciplinary mathematics ; v. 28
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52.

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図書
52. Nonlinear magnetohydrodynamics (: hard)
Dieter Biskamp
出版情報: Cambridge [England] ; New York : Cambridge University Press, 1993  xiv, 378 p. ; 26 cm
シリーズ名: Cambridge monographs on plasma physics ; 1
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Preface
Introduction / 1：
Basic properties of magnetohydrodynamics / 2：
Magnetostatic equilibria / 3：
Normal modes and instability / 4：
Nonlinear evolution of MHD instabilities / 5：
Magnetic reconnection / 6：
MHD turbulence / 7：
Disruptive processes in tokamak plasmas / 8：
Dynamics of the reversed-field pinch / 9：
Solar flares / 10：
Outlook
References
Index
Preface
Introduction / 1：
Basic properties of magnetohydrodynamics / 2：
53.

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図書
53. Dynamical systems with saturation nonlinearities : analysis and design (: gw ; : us)
Derong Liu and Anthony N. Michel
出版情報: London ; Berlin ; New York : Springer-Verlag, c1994  xiv, 191 p. ; 24 cm
シリーズ名: Lecture notes in control and information sciences ; 195
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54.

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図書
54. Mathematical problems of classical nonlinear electromagnetic theory
Frederick Bloom
出版情報: Harlow, Essex, England : Longman Scientific & Technical , New York : Wiley, 1993  386 p. ; 24 cm
シリーズ名: Pitman monographs and surveys in pure and applied mathematics ; 63
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55.

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図書
55. Optima and equilibria : an introduction to nonlinear analysis (: gw ; : us)
Jean-Pierre Aubin ; translated from the French by Stephen Wilson
出版情報: Berlin ; New York : Springer-Verlag, c1993  xvi, 417 p. ; 24 cm
シリーズ名: Graduate texts in mathematics ; 140
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56.

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図書
56. An introduction to nonlinear image processing
Edward R. Dougherty, Jaakko Astola
出版情報: Bellingham, Wash. : SPIE Optical Engineering Press, c1994  xi, 182 p. ; 26 cm
シリーズ名: Tutorial texts in optical engineering ; v. TT 16
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57.

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図書
57. Nonlinear systems. 2nd ed.
Hassan K. Khalil
出版情報: Upper Saddle River, NJ : Prentice Hall, c1996  xii, 734 p. ; 24 cm
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Features: Builds in mathematical sophistication from chapter to chapter
Adopts a very precise theorem-proof format for presenting the fundamental notions of stability and asymptotic analysis for nonlinear systems -- but uses user-friendly language, enlivened with many examples and remarks
Covers the basic elements of Lyapunov stability in a separate chapter
Covers topics ignored by other similar texts, e.g.: averaging
Single perturbation center manifold theorem
New--reorganizes content into three distinct parts
Covers nonlinear system analysis / Part I：
Discusses feedback systems / Part II：
Considers feedback design / Part III：
New--expands coverage of: input-output stability
Feedback linearization
Small-theorem
New--adds coverage of: passivity approach
Back stepping control design
Sliding mode control
Numerical construction of phase portraits
Comparison principle
Comparison method
Input-output linearization
Differential geometric approach
Extended linearization
Features problems that range in difficulty from simple drill problems to advanced (research-level) problems
New--adds over 100 new problems
Features: Builds in mathematical sophistication from chapter to chapter
Adopts a very precise theorem-proof format for presenting the fundamental notions of stability and asymptotic analysis for nonlinear systems -- but uses user-friendly language, enlivened with many examples and remarks
Covers the basic elements of Lyapunov stability in a separate chapter
58.

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図書
58. Applied nonlinear dynamics : analytical, computational, and experimental methods
Ali H. Nayfeh, Balakumar Balachandran
出版情報: New York, N.Y. : John Wiley & Sons, c1995  xv, 685 p. ; 24 cm
シリーズ名: Wiley series in nonlinear science
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59.

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図書
59. Hydrodynamics and nonlinear instabilities
edited by Claude Godrèche, Paul Manneville
出版情報: Cambridge : Cambridge University Press, 1998  xvi, 681 p. ; 26 cm
シリーズ名: Collection Aléa-Saclay : monographs and texts in statistical physics
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目次情報: 続きを見る
Overview
An introduction to hydrodynamics / Bernard Castaing1：
Hydrodynamical instabilities in open flows / P. Huerre ; M. Rossi2：
Asymptotic techniques in nonlinear problems: some illustrative examples / Vincent Halim3：
Pattern forming instabilities / Stephan Fauve4：
An introduction to the instability of flames, shocks and detonations / G. Joulin ; P. Vidal5：
Overview
An introduction to hydrodynamics / Bernard Castaing1：
Hydrodynamical instabilities in open flows / P. Huerre ; M. Rossi2：
60.

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図書
60. Non-linear time series : a dynamical system approach (: pbk)
Howell Tong
出版情報: Oxford : Clarendon Press , New York : Oxford University Press, 1993  xvi, 564 p. ; 24 cm
シリーズ名: Oxford statistical science series ; 6
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目次情報: 続きを見る
Introduction / 1：
An Introduction to Dynamical Systems / 2：
Some Non-Linear Time Series Models / 3：
Probability Structure / 4：
Statistical Aspects / 5：
Non-Linear Least Squares Prediction Based on Non-Linear Models / 6：
Case Studies / 7：
Introduction / 1：
An Introduction to Dynamical Systems / 2：
Some Non-Linear Time Series Models / 3：
61.

図書
図書
61. Nonlinear dynamical control systems (: us ; : gw)
Henk Nijmeijer, Arjan van der Schaft
出版情報: New York ; Tokyo : Springer-Verlag, c1990  xiii, 467 p. ; 25 cm
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Introduction
Manifolds, Vectorfields, Lie Brackets, Distributions
Controllability and Observability, Local Decompositions
Input-Output Representations
State Space Transformation and Feedback
Feedback Linearization of Nonlinear Systems
Controlled Invariant Distribution and the Disturbance Decoupling Problem
The Input-Output Decoupling Problem: Geometric Considerations
Local Stability and Stabilization of Nonlinear Systems
Controlled Invariant Submanifolds and Nonlinear Zero Dynamics
Mechanical Nonlinear Control Systems
Controlled Invariance and Decoupling for General Nonlinear Systems
Discrete-Time Nonlinear Control Systems
Subject
Index
Introduction
Manifolds, Vectorfields, Lie Brackets, Distributions
Controllability and Observability, Local Decompositions
62.

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図書
62. Introduction to applied nonlinear dynamical systems and chaos (: us ; : gw)
Stephen Wiggins
出版情報: New York ; Tokyo : Springer-Verlag, c1990  xiv, 672 p. ; 25 cm
シリーズ名: Texts in applied mathematics ; 2
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63.

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63. Nonlinear systems (: pbk)
P.G. Drazin
出版情報: Cambridge [England] ; New York : Cambridge University Press, 1992  xiii, 317 p. ; 24 cm
シリーズ名: Cambridge texts in applied mathematics
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64.

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図書
64. Encounter with chaos : self-organized hierarchial complexity in semiconductor experiments (: gw - : pbk. us)
J. Peinke ... [et al.]
出版情報: Berlin ; Tokyo : Springer-Verlag, c1992  ix, 289 p. ; 25 cm
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65.

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65. Binary polynomial transforms and nonlinear digital filters
S. Agaian, J. Astola, K. Egiazarian
出版情報: New York : Dekker, c1995  xix, 302 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 191
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目次情報: 続きを見る
Preface
List of Symbols and Abbreviations
Introduction
Binary Polynomial Transforms / I：
Binary Polynomial Arithmetical and Logical Functions and Matrices / 1：
Rademacher Functions and Matrices / 1.1：
Arithmetical and Logical Binary Polynomial Functions. Constructions Using One Binary Operation / 1.3：
Walsh functions and matrices / 1.3.1：
Polynomial logical functions and matrices / 1.3.2：
Binary Polynomial Logical Functions and Matrices. Constructions Using Two Operations / 1.4：
Binary Polynomial Logical Functions and Matrices. Extensions of Dimension / 1.5：
Interval splicing matrices / 1.5.1：
Interval absorbing matrices / 1.5.2：
Fast Algorithms and Complexity of Binary Polynomial Transforms / 2：
General Approach to the Fast Algorithms of Binary Polynomial Transforms / 2.1：
Fast Rademacher Transforms / 2.3：
Fast Walsh Transforms / 2.4：
Fast Conjunctive Transforms / 2.5：
Fast Interval Transforms / 2.6：
Fast Disjunctive-Conjunctive Transforms / 2.7：
Lower Bounds of the Complexity of Some Binary Polynomial Transforms / 2.8：
Logical Correlations and Binary Polynomial Transforms / 3：
Arithmetical and Logical Correlation Functions / 3.1：
Arithmetical auto- and cross-correlation functions / 3.2.1：
Logical auto- and cross-correlation functions / 3.2.2：
Relations between the arithmetical and logical auto-correlation functions / 3.2.3：
General Auto- and Cross-Correlation Functions / 3.3：
Definitions / 3.3.1：
Properties of logical [rho]-correlation / 3.3.2：
Transform Method for Computation of Cross-Correlation / 3.4：
Computation of general cross-correlation / 3.4.1：
Computation of logical cross-correlation based on any Boolean operation / 3.4.2：
Power-Spectrum and General Wiener-Khinchine Theorem / 3.5：
Comments / 3.6：
Binary Polynomial Transforms and Digital Logic / II：
Spectral Methods in Analysis of Boolean Functions / 4：
Linear Boolean Functions / 4.1：
Positive (Monotone) Boolean Functions / 4.3：
Selfdual Boolean Functions / 4.4：
Symmetric Boolean Functions / 4.5：
Analysis of Fictitious Variables / 4.6：
Partial Derivatives of Boolean Functions / 4.7：
Activities of the Variables of Boolean Functions / 4.8：
Chow parameters and weighted Chow parameters of a Boolean function / 4.8.1：
Transfer from One Normal Form to Another and the Logical Operations over the Normal Forms / 4.9：
Connections between normal forms of Boolean functions / 4.9.1：
Logical operations over normal forms / 4.9.2：
Spectral Methods in Minimization of Boolean Functions / 5：
General Spectral Algorithms for Construction of the Abbreviated Disjunctive and Conjunctive Normal Forms of Boolean Function / 5.1：
Deadlock Tests and Abbreviated Normal Forms of Boolean Functions / 5.3：
Unconditional deadlock tests for tables / 5.3.1：
Abbreviated disjunctive and conjunctive normal forms of Boolean functions with a small number of ones (zeros) / 5.3.2：
Deadlock and Minimal Disjunctive and Conjunctive Normal Forms of Boolean Functions / 5.4：
Minimization of Positive (Monotone) Boolean Functions / 5.5：
Minimal disjunctive and conjunctive normal forms of positive Boolean functions / 5.5.1：
Minimization of the dual of a positive Boolean function / 5.5.2：
Quasi-Minimization of Boolean Functions / 5.6：
Reed-Muller Polynomials of Boolean Functions / 5.7：
Spectral approach to the construction of Reed-Muller polynomials / 5.7.1：
Spectral approach to generalized Reed-Muller polynomials construction / 5.7.2：
Applications in Nonlinear Digital Filtering / 5.8：
Median and Order Statistic Filters / 6：
Standard Median and Order Statistic Filters / 6.1：
Standard median filters in real domain / 6.2.1：
Standard median filters in binary domain / 6.2.2：
Standard median filters in complex domain / 6.2.3：
Order statistic filters / 6.2.4：
Two-dimensional median and order statistic filters / 6.2.5：
Histogram-type Algorithms of Fast Median and Order Statistic Filtering / 6.3：
Radix algorithms for finding median and order statistics / 6.3.1：
Histogram-type algorithms for one-dimensional running median and order statistic filtering / 6.3.2：
Histogram-type algorithms for two-dimensional running median and order statistic filtering / 6.3.3：
Decomposition Algorithms of Median and Order Statistic Filtering / 6.4：
Decomposition algorithms for finding median and order statistic / 6.4.1：
Decompositional algorithms for running median and order statistic filtering / 6.4.2：
Weighted Order Statistic and Stack Filters / 7：
Weighted Median and Weighted Order Statistic Filters / 7.1：
Weighted median filters in the real domain / 7.1.1：
Weighted median filters in binary domain / 7.1.2：
Weighted median filters in complex domain / 7.1.3：
Weighted order statistic filters / 7.1.4：
Histogram-Type Algorithms for Finding Weighted Order Statistics / 7.2：
Histogram-Type Algorithms for Running Weighted Order Statistic Filtering / 7.3：
Running algorithm for linearly distributed weights / 7.3.1：
Running algorithm for exponentially distributed weights / 7.3.2：
Running algorithm for combination of weights / 7.3.3：
Histogram-type algorithms for two-dimensional running weighted order statistic filtering / 7.3.4：
Decomposition Algorithms of Weighted Order Statistic Filtering / 7.4：
Stack Filters / 7.5：
Stack Filters and Threshold Decomposition / 7.5.1：
Decomposition Methods for Stack Filtering / 7.6：
Decomposition methods of stack filtering for fixed window / 7.6.1：
Decomposition methods of stack filtering for running window / 7.6.2：
Spectral Approach to Stack and Weighted Order Statistic Filters / 7.7：
Statistical Properties of Stack Filters / 8：
Noise Attenuation for Order Statistics / 8.1：
Maximum Likelihood Estimators / 8.3：
Output Distribution Functions of Weighted Order Statistic and Stack Filters / 8.4：
Output distribution functions of a stack filter / 8.4.1：
Output distribution function of a weighted order statistic filter / 8.4.2：
Joint Distributions of Stack Filters / 8.5：
Definitions and notations / 8.5.1：
Joint cumulative distribution of L stack filters / 8.5.2：
Spectral Approach to the Calculation of the Joint Distribution of Stack Filters / 8.6：
Selection Probabilities of Stack Filters / 8.7：
Definitions and properties / 8.7.1：
Selection probabilities of weighted order statistic filters / 8.7.2：
Partial derivatives of PBF and selection probability sets of stack filters / 8.7.3：
Activities of variables of Boolean functions and the combination matrix of continuous stack filters / 8.7.4：
Weighted activities of variables and joint selection probability matrix of stack filters / 8.7.5：
Sample selection probability vectors and weighted Chow parameters / 8.7.6：
Spectral Approach to the Calculation of Selection Probabilities / 8.8：
Construction of selection probability sets for continuous stack filters / 8.8.1：
Construction of joint selection probability matrix for continuous stack and WOS filters / 8.8.2：
Construction of sample selection probability vector for continuous stack filters / 8.8.3：
Construction of rank selection probability vector for continuous stack filters / 8.8.4：
Index / 8.9：
Preface
List of Symbols and Abbreviations
Introduction
66.

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図書
66. Dissipative structures and weak turbulence
Paul Manneville
出版情報: Boston ; Tokyo : Academic Press, c1990  xvii, 485 p. ; 24 cm
シリーズ名: Perspectives in physics
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