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1.

図書

図書
M.C. Irwin
出版情報: Singapore : World Scientific, c2001  xii, 259 p. ; 23 cm
シリーズ名: Advanced series in nonlinear dynamics ; v. 17
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目次情報: 続きを見る
Foreword
Preface
Introduction
The simple pendulum / I.:
A dissipative system / II.:
The spherical pendulum / III.:
Vector fields and dynamical systems / IV.:
Some Simple Examples / Chapter 1.:
Flows and homeomorphisms
Orbits
Examples of dynamical systems
Constructing systems
Properties of orbits / V.:
Appendix 1
Group actions
Equivalent Systems / Chapter 2.:
Topological conjugacy
Homeomorphisms of the circle
Flow equivalence and topological equivalence
Local equivalence
Limit sets of flows
Limit sets of homeomorphisms / VI.:
Non-wandering sets / VII.:
Appendix 2
Two topological lemmas
Oriented orbits in Hausdorff spaces
Compactification
Integration of Vector Fields / Chapter 3.:
Vector fields
Velocity vector fields and integral flows
Ordinary differential equations
Local integrals
Global integrals
Appendix 3
Integrals of perturbed vector fields
First integrals
Linear Systems / Chapter 4.:
Linear flows on R[superscript n]
Linear automorphisms of R[superscript n]
The spectrum of a linear endomorphism
Hyperbolic linear automorphisms
Hyperbolic linear vector fields
Appendix 4
Spectral Theory
Linearization / Chapter 5.:
Regular points
Hartman's theorem
Hartman's theorem for flows
Hyperbolic closed orbits
Appendix 5
Smooth linearization
Liapunov stability
The index of a fixed point
Stable Manifolds / Chapter 6.:
The stable manifold at a hyperbolic fixed point of a diffeomorphism
Stable manifold theory for flows
The generalized stable manifold theorem
Appendix 6
Perturbed stable manifolds
Stable Systems / Chapter 7.:
Low dimensional systems
Anosov systems
Characterization of structural stability
Density
Omega stability
Bifurcation
Theory of Manifolds / Appendix A.:
Topological manifolds
Smooth manifolds and maps
Smooth vector bundles
The tangent bundle
Immersions, embeddings and submersions
Sections of vector bundles
Tensor bundles
Riemannian manifolds / VIII.:
Map Spaces / Appendix B.:
Spaces of smooth maps
Composition theorems
Spaces of sections
Spaces of dynamical systems
The Contraction Mapping Theorem / Appendix C.:
Bibliography
Subject Index
Foreword
Preface
Introduction
2.

図書

図書
Clark Robinson
出版情報: Boca Raton, Fla. : CRC Press, c1999  506 p. ; 27 cm
シリーズ名: Studies in advanced mathematics
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3.

図書

図書
M.C. Irwin
出版情報: London ; New York ; Tokyo : Academic Press, 1980  x, 259 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; 94
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4.

図書

図書
Richard E. Williamson
出版情報: New York : McGraw-Hill, c1997  xiii, 690 p. ; 27 cm
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5.

図書

図書
A.S. Fokas and I.M. Gelfand, editors
出版情報: Boston : Birkhäuser, c1997  viii, 350 p. ; 26 cm
シリーズ名: Progress in nonlinear differential equations and their applications / editor, Haim Brezis ; v. 26
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6.

図書

図書
Pierre N.V. Tu
出版情報: Berlin ; New York ; Tokyo : Springer-Verlag, c1994  xviii, 314 p. ; 25 cm
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7.

図書

図書
Uwe Helmke and John B. Moore ; with a foreword by R. Brockett
出版情報: London ; Tokyo : Springer-Verlag, c1994  xiv, 391 p. ; 25 cm
シリーズ名: Communications and control engineering
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8.

図書

図書
V.I. Arnol'd (ed.)
出版情報: Berlin ; Tokyo : Springer-Verlag, c1993  235 p. ; 24 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 39 . Dynamical systems ; 8 . Singularity theory ; 2
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目次情報:
Singularity II
Applications / V.I. Arnol'd ; V.V. Goryunov ; O.V. Lyashko ; V.A. Vasil'ev
Singularity II
Applications / V.I. Arnol'd ; V.V. Goryunov ; O.V. Lyashko ; V.A. Vasil'ev
9.

図書

図書
Welington de Melo, Sebastian van Strien
出版情報: Berlin ; Tokyo : Springer-Verlag, c1993  xiii, 605 p. ; 25 cm
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, Bd. 25
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10.

図書

図書
H. Brian Griffiths, Adrian Oldknow
出版情報: New York : Ellis Horwood, 1993  xiii, 435 p. ; 24 cm
シリーズ名: Ellis Horwood series in mathematics and its applications ; . Statistics, operational research, and computational mathematics
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