UID:
almahu_9949697289602882
Umfang:
1 online resource (271 p.)
ISBN:
1-281-76627-5
,
9786611766276
,
0-08-087410-X
Serie:
Pure and applied mathematics; a series of monographs and textbooks ; 94
Inhalt:
Smooth dynamical systems
Anmerkung:
Description based upon print version of record.
,
Front Cover; Smooth Dynamical Systems; Copyright Page; Contents; Preface; Introduction; I. The simple pendulum; II. A dissipative system; III. The spherical pendulum; IV. Vector fields and dynamical systems; Chapter 1. Some Simple Examples; I. Flows and homeomorphisms; II. Orbits; III. Examples of dynamical systems; IV. Constructing systems; V. Properties of orbits; Appendix 1; Chapter 2. Equivalent Systems; I. Topological conjugacy; II. Homeomorphisms of the circle; III. Flow equivalence and topological equivalence; IV. Local equivalence; V. Limit sets of flows
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VI. Limit sets of homeomorphismsVII. Non-wandering sets; Appendix 2; Chapter 3. Integration of Vector Fields; I. Vector fields; II. Velocity vector fields and integral flows; III. Ordinary differential equations; IV. Local integrals; V. Global integrals; Appendix 3; Chapter 4. Linear Systems; I. Linear flows on Rn; II. Linear automorphisms of Rn; III. The spectrum of a linear endomorphism .; IV. Hyperbolic linear automorphisms; V. Hyperbolic linear vector fields; Appendix 4; Chapter 5. Linearization; I. Regular points; II. Hartman's theorem; III. Hartman's theorem for flows
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IV. Hyperbolic closed orbitsAppendix 5; Chapter 6. Stable Manifolds; I. The stable manifold at a hyperbolic fixed point of a diffeomorphism; II. Stable manifold theory for flows; III. The generalized stable manifold theorem; Appendix 6; Chapter 7. Stable Systems; I. Low dimensional systems; II. Anosov systems; III. Characterization of structural stability; IV. Density; V. Omega stability; VI. Bifurcation; Appendix A. Theory of Manifolds; Appendix B. Map Spaces; Appendix C. The Contraction Mapping Theorem; Bibliography; Subject Index
,
English
Weitere Ausg.:
ISBN 0-12-374450-4
Sprache:
Englisch
