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1.

図書
図書
1. Discrete chaos
Saber N. Elaydi
出版情報: Boca Raton, Fla. : Chapman & Hall/CRC, c2000  xiii, 355 p. ; 25 cm
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List of Symbols
Preface
The Stability of One-Dimensional Maps / 1：
Maps vs. Difference Equations / 1.1：
Maps vs. Differential Equations / 1.2：
Linear Maps/Difference Equations / 1.3：
Fixed (Equilibrium) Points / 1.4：
Graphical Iteration and Stability / 1.5：
Criteria for Stability / 1.6：
Hyperbolic Fixed Points / 1.6.1：
Nonhyperbolic Fixed Points / 1.6.2：
Periodic Points and their Stability / 1.7：
The Period-Doubling Route to Chaos / 1.8：
Fixed Points / 1.8.1：
2-Cycles / 1.8.2：
2[superscript 2]-Cycles / 1.8.3：
Beyond [mu][characters not reproducible] / 1.8.4：
Applications / 1.9：
A Genotype Selection Model / 1.9.1：
Sharkovsky's Theorem and Bifurcation / 2：
The Mystery of Period 3 / 2.1：
Converse of Sharkovsky's Theorem / 2.2：
Basin of Attraction / 2.3：
The Schwarzian Derivative / 2.4：
Bifurcation / 2.5：
The Lorenz Map / 2.6：
Appendix
Chaos in One Dimension / 3：
Introduction / 3.1：
Metric Spaces / 3.2：
Transitivity / 3.3：
Sensitive Dependence and Liapunov Exponents / 3.4：
Definition of Chaos / 3.5：
Symbolic Dynamics / 3.6：
Conjugacy / 3.7：
Stability of Two-Dimensional Maps / 4：
Linear Maps vs. Linear Systems / 4.1：
Computing A[superscript n] / 4.2：
Fundamental Set of Solutions / 4.3：
Second-Order Difference Equations / 4.4：
Phase Space Diagrams / 4.5：
Stability Notions / 4.6：
Stability of Linear Systems / 4.7：
Liapunov Functions for Nonlinear Maps / 4.8：
Linear Systems Revisited / 4.9：
Stability via Linearization / 4.10：
The Hartman-Grobman Theorem / 4.10.1：
The Stable Manifold Theorem / 4.10.2：
The Kicked Rotator and the Henon Map / 4.11：
The Henon Map / 4.11.2：
Discrete Epidemic Model for Gonorrhea / 4.11.3：
Perennial Grass / 4.11.4：
Chaos in Two Dimensions / 5：
Hyperbolic Anosov Toral Automorphism / 5.1：
Subshifts of Finite Type / 5.2：
The Horseshoe and Henon Maps / 5.3：
The Henon Map Revisited / 5.3.1：
Center Manifolds / 5.4：
Neimark-Sacker (Hopf) Bifurcation / 5.5：
Fractals / 6：
Examples of Fractals / 6.1：
The Dimension of a Fractal / 6.2：
Iterated Function System / 6.3：
Mathematical Foundation of Fractals / 6.4：
The Collage Theorem and Image Compression / 6.5：
The Julia and Mandelbrot Sets / 7：
Mapping by Functions on the Complex Domain / 7.1：
The Riemann Sphere / 7.2：
The Julia Set / 7.3：
Topological Properties of the Julia Set / 7.4：
Newton's Method in the Complex Plane / 7.5：
The Mandelbrot Set / 7.6：
Bibliography
Answers to Selected Problems
Index
List of Symbols
Preface
The Stability of One-Dimensional Maps / 1：
2.

図書
図書
2. Dynamical properties of diffeomorphisms of the annulus and of the torus
Patrice Le Calvez ; translated by Philippe Mazaud
出版情報: Providence, R.I. : American Mathematical Society , [Paris] : Société Mathématique de France, c2000  ix, 105 p. ; 26 cm
シリーズ名: SMF/AMS texts and monographs ; v. 4
Astérisque ; no 204 (1991)
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Presentation and comparison of the different approaches to the theory of monotone twist diffeomorphisms of the annulus
Generating phases of the diffeomorphisms of the torus and the annulus
Index
Bibliography
Presentation and comparison of the different approaches to the theory of monotone twist diffeomorphisms of the annulus
Generating phases of the diffeomorphisms of the torus and the annulus
Index
3.

図書
図書
3. Dynamical systems, ergodic theory and applications. 2nd, expanded and rev. ed
L.A. Bunimovich ... [et al.] ; edited by Ya.G. Sinai
出版情報: Berlin ; Tokyo : Springer-Verlag, c2000  x, 459 p. ; 24 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 100 . Mathematical physics ; 1
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General Ergodic Theory of Groupsof Measure Preserving Transformations / I：
Ergodic Theory of Smooth Dynamical Systems / II：
Dynamical Systems on Homogeneous Spaces / III：
The Dynamics of Billiard Flowsin Rational Polygons / IV：
Dynamical Systemsof Statistical Mechanics and Kinetic Equations / V：
Subject Index
Basic Notions of Ergodic Theory and Examples of Dynamical Systems / I.P. Kornfeld ; Ya.G. SinaiChapter 1：
Dynamical Systems with Invariant Measures /   1：
First Corollaries of the Existence of Invariant Measures. Ergodic Theorems /   2：
Ergodicity. Decomposition into Ergodic Components. Various Mixing Conditions /   3：
General Constructions /   4：
Direct Products of Dynamical Systems / 4.1：
Skew Products of Dynamical Systems / 4.2：
Factor-Systems / 4.3：
Integral and Induced Automorphisms / 4.4：
Special Flows and Special Representations of Flows / 4.5：
Natural Extensions of Endomorphisms / 4.6：
Spectral Theory of Dynamical Systems / Chapter 2：
Groups of Unitary Operators and Semigroups of Isometric Operators Adjoint to Dynamical Systems
The Structure of the Dynamical Systems with Pure Point and Quasidiscrete Spectra
Examples of Spectral Analysis of Dynamical Systems
Spectral Analysis of Gauss Dynamical Systems
Entropy Theory of Dynamical Systems / Chapter 3：
Entropy and Conditional Entropy of a Partition
Entropy of a Dynamical System
The Structure of Dynamical Systems of Positive Entropy
The Isomorphy Problem for Bernoulli Automorphisms and K-Systems
Equivalence of Dynamical Systems in the Sense of Kakutani /   5：
Shifts in the Spaces of Sequences and Gibbs Measures /   6：
Periodic Approximations and Their Applications. Ergodic Theorems, Spectral and Entropy Theory for the General Group Actions / A.M. VershikChapter 4：
Approximation Theory of Dynamical Systems by Periodic Ones. Flows on the Two-Dimensional Torus
Flows on the Surfaces of Genus p ≥ 1 and Interval Exchange Transformations
General Group Actions
Introduction / 3.1：
General Definition of the Actions of Locally Compact Groups on Lebesgue Spaces / 3.2：
Ergodic Theorems / 3.3：
Spectral Theory / 3.4：
Entropy Theory for the Actions of General Groups
Trajectory Theory / Chapter 5：
Statements of Main Results
Sketch of the Proof. Tame Partitions
Trajectory Theory for Amenable Groups
Trajectory Theory for Non-Amenable Groups. Rigidity
Concluding Remarks. Relationship Between Trajectory Theory and Operator Algebras
Bibliography
Additional Bibliography
Ergodic Theory of SmoothDynamical Systems
Stochasticity of Smooth Dynamical Systems. The Elements of KAM-Theory / Chapter 6：
Integrable and Nonintegrable Smooth Dynamical Systems. The Hierarchy of Stochastic Properties of Deterministic Dynamics
The Kolmogorov-Arnold-Moser Theory (KAM-Theory)
General Theory of Smooth Hyperbolic Dynamical Systems / Ya.B.PesinChapter 7：
Hyperbolicity of Individual Trajectories
Introductory Remarks / 1.1：
Uniform Hyperbolicity / 1.2：
Nonuniform Hyperbolicity / 1.3：
Local Manifolds / 1.4：
Global Manifolds / 1.5：
Basic Classes of Smooth Hyperbolic Dynamical Systems. Definitions and Examples
Anosov Systems / 2.1：
Hyperbolic Sets / 2.2：
Locally Maximal Hyperbolic Sets / 2.3：
Axiom A-Diffeomorphisms / 2.4：
Hyperbolic Attractors. Repellers / 2.5：
Partially Hyperbolic Dynamical Systems / 2.6：
Mather Theory / 2.7：
Nonuniformely Hyperbolic Dynamical Systems. Lyapunov Exponents / 2.8：
Ergodic Properties of Smooth Hyperbolic Dynamical Systems
u-Gibbs Measures
Symbolic Dynamics
Measures of Maximal Entropy
Construction of u-Gibbs Measures
Topological Pressure and Topological Entropy / 3.5：
Properties of u-Gibbs Measures / 3.6：
Small Stochastic Perturbations / 3.7：
Equilibrium States and Their Ergodic Properties / 3.8：
Ergodic Properties of Dynamical Systems with Nonzero Lyapunov Exponents / 3.9：
Ergodic Properties of Anosov Systems and of UPH-Systems / 3.10：
Continuous Time Dynamical Systems / 3.11：
Hyperbolic Geodesic Flows
Manifolds with Negative Curvature
Riemannian Metrics Without Conjugate (or Focal) Points
Entropy of Geodesic Flows
Riemannian Metrics of Nonpositive Curvature
Geodesic Flows on Manifolds with Constant Negative Curvature
Dimension-like Characteristics of Invariant Sets for Dynamical Systems
Hausdorff Dimension / 6.1：
Other Dimension Characteristics / 6.3：
Carathéodory Dimension Structure. Carathéodory Dimension Characteristics / 6.4：
Examples of C-structures and Carathéodory Dimension Characteristics / 6.5：
Multifractal Formalism / 6.6：
Coupled Map Lattices /   7：
Additional References
Billiards and Other Hyperbolic Systems / L.A. BunimovichChapter 8：
Billiards
The General Definition of a Billiard
Billiards in Polygons and Polyhedrons
Billiards in Domains with Smooth Convex Boundary
Dispersing or Sinai Billiards
The Lorentz Gas and Hard Spheres Gas
Semi-dispersing Billiards and Boltzmann Hypotheses / 1.6：
Billiards in Domains with Boundary Possessing Focusing Components / 1.7：
Hyperbolic Dynamical Systems with Singularities (a General Approach) / 1.8：
Markov Approximations and Symbolic Dynamics for Hyperbolic Billiards / 1.9：
Statistical Properties of Dispersing Billiards and of the Lorentz Gas / 1.10：
Transport Coefficients for the Simplest Mechanical Models / 1.11：
Strange Attractors
Definition of a Strange Attractor
The Lorenz Attractor
Some Other Examples of Hyperbolic Strange Attractors
Ergodic Theory of One-Dimensional Mappings / M.V. JakobsonChapter 9：
Expanding Maps
Definitions, Examples, the Entropy Formula
Walters Theorem
Absolutely Continuous Invariant Measures for Nonexpanding Maps
Some Examples
Intermittency of Stochastic and Stable Systems
Ergodic Properties of Absolutely Continuous Invariant Measures
Feigenbaum Universality Law
The Phenomenon of Universality
Doubling Transformation
Neighborhood of the Fixed Point
Properties of Maps Belonging to the Stable Manifold of Φ
Rational Endomorphisms of the Riemann Sphere
The Julia Set and Its Complement
The Stability Properties of Rational Endomorphisms
Ergodic and Dimensional Properties of Julia Sets
Dynamical Systemson Homogeneous Spaces
Measures on homogeneous spaces / S.G. DaniChapter 10：
Examples of lattices
Ergodicity and its consequences
Isomorphisms and factors of affine automorphisms
Affine automorphisms of tori and nilmanifolds
Ergodic properties; the case of tori
Ergodic properties on nilmanifolds
Unipotent affine automorphisms
Quasi-unipotent affine automorphisms
Closed invariant sets of automorphisms
Dynamics of hyperbolic automorphisms
More on invariant sets of hyperbolic toral automorphisms
Distribution of orbits of hyperbolic automorphisms
Dynamics of ergodic toral automorphisms / 2.9：
Actions of groups of affine automorphisms / 2.10：
Group-induced translation flows; special cases
Flows on solvmanifolds
Homogeneous spaces of semisimple groups
Flows on low-dimensional homogeneous spaces
Ergodic properties of flows on general homogeneous spaces
Horospherical subgroups and Mautner phenomenon
Ergodicity of one-parameter flows
Invariant functions and ergodic decomposition
Actions of subgroups
Duality
Spectrum and mixing of group-induced flows
Mixing of higher orders / 4.7：
Entropy / 4.8：
K-mixing, Bernoullicity / 4.9：
Group-induced flows with hyperbolic structure
Anosov automorphisms / 5.1：
Affine automorphisms with a hyperbolic fixed point / 5.2：
Anosov flows / 5.3：
Invariant measures of group-induced flows
Invariant measures of Ad-unipotent flows
Invariant measures and epimorphic subgroups
Invariant measures of actions of diagonalisable groups
A weak recurrence property and infinite invariant measures
Distribution of orbits and polynomial trajectories
A uniform version of uniform distribution
Distribution of translates of closed orbits / 6.7：
Orbit closures of group-induced flows
Homogeneity of orbit closures / 7.1：
Orbit closures of horospherical subgroups / 7.2：
Orbits of reductive subgroups / 7.3：
Orbit closures of one-parameter flows / 7.4：
Dense orbits and minimal sets of flows / 7.5：
Divergent trajectories of flows / 7.6：
Bounded orbits and escapable sets / 7.7：
Duality and lattice-actions on vector spaces /   8：
Duality between orbits / 8.1：
Duality of invariant measures / 8.2：
Applications to Diophantine approximation /   9：
Polynomials in one variable / 9.1：
Values of linear forms / 9.2：
Diophantine approximation with dependent quantities / 9.3：
Values of quadratic forms / 9.4：
Forms of higher degree / 9.5：
Integral points on algebraic varieties / 9.6：
Classification and related questions /   10：
Metric isomorphisms and factors / 10.1：
Metric rigidity / 10.2：
Topological conjugacy / 10.3：
Topological equivalence / 10.4：
The Dynamics of Billiard Flows in Rational Polygons of Dynamical Systems / J. SmillieChapter 11：
Two Examples
Formal Properties of the Billiard Flow
The Flow in a Fixed Direction
Billiard Techniques: Minimality and Closed Orbits
Billiard Techniques: Unique Ergodicity
Dynamics on Moduli Spaces
The Lattice Examples of Veech
Dynamical Systems of Statistical Mechanicsand Kinetic Equations
Dynamical Systems of Statistical Mechanics / R.L. Dobrushin ; Yu.M. SukhovChapter 12：
Phase Space of Systems of Statistical Mechanics and Gibbs Measures
The Configuration Space
Poisson Measures
The Gibbs Configuration Probability Distribution
Potential of the Pair Interaction. Existence and Uniqueness of a Gibbs Configuration Probability Distribution
The Phase Space. The Gibbs Probability Distribution
Gibbs Measures with a General Potential
The Moment Measure and Moment Function
Dynamics of a System of Interacting Particles
Statement of the Problem
Construction of the Dynamics and Time Evolution
Hierarchy of the Bogolyubov Equations
Equilibrium Dynamics
Definition and Construction of Equilibrium Dynamics
The Gibbs Postulate
Degenerate Models
Asymptotic Properties of the Measures Pt
Ideal Gas and Related Systems
The Poisson Superstructure
Asymptotic Behaviour of the Probability Distribution Pt as t → ∞
The Dynamical System of One-Dimensional Hard Rods
Kinetic Equations
The Boltzmann Equation
The Vlasov Equation
The Landau Equation
Hydrodynamic Equations
Existence and Uniqueness Theorems for the Boltzmann Equation / N.B. MaslovaChapter 13：
Formulation of Boundary Problems. Properties of Integral Operators
Formulation of Boundary Problems
Properties of the Collision Integral
Linear Stationary Problems
Asymptotics
Internal Problems
External Problems
Kramers' Problem
Nonlinear Stationary Problems
Non-Stationary Problems
General Ergodic Theory of Groupsof Measure Preserving Transformations / I：
Ergodic Theory of Smooth Dynamical Systems / II：
Dynamical Systems on Homogeneous Spaces / III：
4.

図書
図書
4. Holomorphic dynamics
S. Morosawa ... [et al.]
出版情報: Cambridge ; New York : Cambridge University Press, c2000  xi, 338 p. ; 24 cm
シリーズ名: Cambridge studies in advanced mathematics ; v. 66
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5.

図書
図書
5. Methods of qualitative theory of differential equations and related topics (Supplement)
L. Lerman, G. Polotovskiĭ, L. Shilnikov, editors
出版情報: Providence, R.I. : American Mathematical Society, c2000  viii, 196 p. ; 26 cm
シリーズ名: American Mathematical Society translations ; ser. 2, v. 200 . Advances in the mathematical sciences (formerly advances in Soviet mathematics) ; 48
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Evgeniya Aleksandrovna Leontovich-Andronova (1905-1996) / L. P. Shilnikov
On the abundance of traveling waves in coupled expanding circle maps / V. Afraimovich ; M. Courbage
On cusp-bifurcations of periodic orbits in systems with a saddle-focus homoclinic curve / S. A. Alekseeva
Collapse and continuity of geodesic frameworks of surface foliations / S. Aranson ; V. Medvedev ; E. Zhuzhoma
Homoclinic and heteroclinic linkages in concrete systems: Nonlocal analysis and model maps / V. N. Belykh
On the mutual arrangement of a conic and a quintic in the real projective plane / A. A. Binstein ; G. M. Polotovskii
The structure of the boundary curve for planar controllability domains / N. N. Butenina
Orbit structure in a neighborhood of a separatrix cycle containing two saddle-foci / V. V. Bykov
Example of a blue sky catastrophe / N. Gavrilov ; A. Shilnikov
Dynamics and moduli of $\Omega$-conjugacy of 4D-diffeomorphisms with a structurally unstable homoclinic orbit to a saddle-focus fixed point / S. V. Gonchenko
Topological classification of amply situated attractors of $A$-diffeomorphisms of surfaces / V. Z. Grines ; R. V. Plykin
A proof of Shilnikov's theorem for $C^1$-smooth dynamical systems / M. V. Shashkov ; D. V. Turaev
A new simple bifurcation of a periodic orbit of "blue sky catastrophe" type
On the splitting of the complex loop of a separatrix / V. P. Tareev
Some topological structures of quadratic systems with at least four limit cycles / A. A. E.
Torus maps from weak coupling of strong resonances / J. Guckenheimer ; I. Khibnik
Isoenergetical structure of integrable Hamiltonian systems in an extended neighborhood of a simple singular point: Three degrees of freedom / L. M. Lerman
Evgeniya Aleksandrovna Leontovich-Andronova (1905-1996) / L. P. Shilnikov
On the abundance of traveling waves in coupled expanding circle maps / V. Afraimovich ; M. Courbage
On cusp-bifurcations of periodic orbits in systems with a saddle-focus homoclinic curve / S. A. Alekseeva
6.

図書
図書
6. Dynamics of evolutionary equations
George R. Sell, Yuncheng You
出版情報: New York : Springer, c2002  xiii, 670 p. ; 24 cm
シリーズ名: Applied mathematical sciences ; v. 143
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Preface
The Evolution of Evolutionary Systems / 1：
Dynamical Systems: Basic Theory / 2：
Linear Semigroups / 3：
Basic Theory of Evolutionary Equations / 4：
Nonlinear Partial Differential Equations / 5：
Navier Stokes Dynamics / 6：
Basic Principles of Dynamics / 7：
Inertial Manifolds and the Reduction Principle / 8：
Appendices: Basics of Functional Analysis
Bibliography
Notation Index
Subject Index
Preface
The Evolution of Evolutionary Systems / 1：
Dynamical Systems: Basic Theory / 2：
7.

図書
図書
7. Handbook of dynamical systems (vol. 1A ; vol. 1B ; vol. 2)
edited by Bernold Fiedler
出版情報: Amsterdam ; Tokyo : Elsevier Science, 2002-  3 v. ; 25 cm
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Principal structures / B. Hasselblatt ; A. KatokVolume 1A：
Entropy, Isomorphism and Equivalence / J.-P. Thouvenot
Hyperbolic dynamics
Invariant measures for hyperbolic dynamical systems / N. Chernov
Periodic orbits and zeta functions / M. Pollicott
Hyperbolic dynamics and Riemannian geometry / G. Knieper
Topological Methods in Dynamics / J. Franks ; M. Misiurewicz
One-Dimensional Maps / M. Jakobson ; G. Sawiatek
Ergodic theory and dynamics of G-spaces / R. Feres
Symbolic and algebraic dynamical systems / D. Lind ; K. Schmidt
Homogeneous flows, applications to number theory, and related topics / D. Kleinbock ; N. Shah ; A. Starkov
Random transformations in ergodic theory / A. Furman
Rational billiards and flat structures / H. Masur ; S. Tabachnikov
Variational methods for Hamiltonian systems / P.H. Rabinowitz
Pseudoholomorphic curves and dynamics in three dimensions / H. Hofer ; K. Wysocki ; E. Zehnder
Finite-Dimensional Methods / A：
Mechanisms of phase-locking and frequency control in pairs of coupled neural oscillators / N. Kopell ; G.B. Ermentrout1：
Invariant manifolds and Lagrangian dynamics in the ocean and atmosphere / C. Jones ; S. Winkler2：
Geometric singular perturbation analysis of neuronal dynamics / J.E. Rubin ; D. Terman3：
Numerics / B：
Numerical continuation, and computation of normal forms / W.-J. Beyn ; A. Champneys ; E. Doedel ; W. Govaerts ; Y.A. Kuznetsov ; B. Sandstede4：
Set oriented numerical methods for dynamical systems / M. Dellnitz ; O. Junge5：
Numerics and exponential smallness / V. Gelfreich6：
Shadowability of chaotic dynamical systems / C. Grebogi ; L. Poon ; T. Sauer ; J.A. Yorke ; D. Auerbach7：
Numerical analysis of dynamical systems / J. Guckenheimer8：
Topological Methods / C：
Conley index / K. Mischaikow ; M. Mrozek9：
Functional differential equations / R.D. Nussbaum10：
Partial Differential Equations / D：
Navier--Stokes equations and dynamical systems / C. Bardos ; B. Nicolaenko11：
The nonlinear Schrodinger equation as both a PDE and a dynamical system / D. Cai ; D.W. McLaughlin ; K.T.R. McLaughlin12：
Pattern formation in gradient systems / P.C. Fife13：
Blow-up in nonlinear heat equations from the dynamical systems point of view / M. Fila ; H. Matano14：
The Ginzburg--Landau equation in its role as a modulation equation / A. Mielke15：
Parabolic equations: asymptotic behavior and dynamics on invariant manifolds / P. Polacik16：
Global attractors in partial differential equations / G. Raugel17：
Stability of travelling waves / 18：
Preface List of Contributors Contents of Volume 1A
Partially Hyperbolic Dynamical Systems / Ya. Pesin
Smooth Ergodic Theory and Nonuniformly Hypoerbolic Dynamics / L. Barreira
Appendix / O. Sarig
Stochastic-Like Behaviour in Nonuniformly Expanding Maps / S. Luzzatto
Homoclinic Bifurcations, Dominated Splitting, and Robust Transivity / E.R. Pujals ; M. Sambarino
Random Dynamics / Yu. Kifer ; P.-D. Liu
An Introduction to Veech Surfaces / P. Hubert ; T.A. Schmidt
Ergodic Theory of Translation Surfaces
On the Lyapunov Exponents of the Kontsevich-Zorich Cocycle / G. Forni
Counting Problems in Moduli Space / A. Eskin
On the Interplay Between Measurable and Topological Dynamics / E. Glasner ; B. Weiss
Spectral Properties and Combinatorial Constructions in Ergodic Theory
Combinatorial and Diophantine Applications of Ergodic Theory / V. Bergelson
Appendix A / A. Leibman
Appendix B / A. Quas ; M. Wierdl
Pointwise Ergodic Theorems for Actions of Groups / A. Nevo
Global Attractors in PDE / A.V. Babin
Hamiltonian PDEs / S.B. Kuksin
Extended Hamiltonian Systems / D. Bambusi ; M.I. Weinstein
Author Index of Volume 1A
Subject Index of Volume 1A
Author Index
Subject Index
Principal structures / B. Hasselblatt ; A. KatokVolume 1A：
Entropy, Isomorphism and Equivalence / J.-P. Thouvenot
Hyperbolic dynamics
8.

図書
図書
8. Introduction to dynamical systems
Michael Brin, Garrett Stuck
出版情報: Cambridge : Cambridge University Press, 2002  xii, 240 p. ; 24 cm
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Introduction
Examples and basic concepts / 1：
Topological dynamics / 2：
Symbolic dynamics / 3：
Ergodic theory / 4：
Hyperbolic dynamics / 5：
Ergodicity of Anosov diffeomorphisms / 6：
Low dimensional dynamics / 7：
Complex dynamics / 8：
Measure theoretic entropy / 9：
Index
Introduction
Examples and basic concepts / 1：
Topological dynamics / 2：
9.

図書
図書
9. General theory of vortices (: gw)
V.V. Kozlov
出版情報: Berlin ; Tokyo : Springer Verlag, c2003  viii, 184 p. ; 24 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 67 . Dynamical systems ; 10
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Introduction
Hydrodynamics, Geometrical Optics, and Classical Mechanics / 1：
General Vortex Theory / 2：
Geodesics on Lie Groups with Left-Invariant Metrics / 3：
Vortex Method of Integration of Hamilton Equations / 4：
Invariants of Vorticity and Second Hydrodynamics / Appendix 1：
Quantum Mechanics and Hydrodynamics / Appendix 2：
References
Index
Introduction
Hydrodynamics, Geometrical Optics, and Classical Mechanics / 1：
General Vortex Theory / 2：
10.

図書
図書
10. Trends in nonlinear analysis
Markus Kirkilionis ... [et al.] (eds.)
出版情報: Berlin ; Tokyo : Springer, c2003  xv, 419 p. ; 24 cm
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