ENGLISH

Elements of Differentiable Dynamics and Bifurcation Theory

By David Ruelle

Book information

Publisher
Academic Press
Year
1989
ISBN
0126017107
Language
english
Format
DJVU
Filesize
2 MB (1761283 bytes)
Pages
\193
Time added
2022-04-03 07:55:11

Description

Title page Preface Part 1. Differentiable Dynamical Systems 1. Manifolds 2. Differentiable Dynamics 3. Vector Fields 4. Fixed Points and Periodic Orbits. Poincaré Map 5. Hyperbolic Fixed Points and Periodic Orbits 6. Stable and Unstable Manifolds 7. Center Manifolds 8. Attractors, Bifurcations, Genericity Note Problems Part 2. Bifurcations 9. Bifurcations of Fixed Points of a Map 10. Bifurcation of Periodic Orbits. The Case of Semiflows Il. The Saddle-Node Bifurcation 12. The Flip Bifurcation 13. The Hopf Bifurcation 14. Persistence of Normally Hyperbolic Manifolds 15. Hyperbolic Sets 16. Homoclinic and Heteroclinic Intersections 17. Global Bifurcations Note Problems Part 3. Appendices A. Sets, Topology, Metric, Banach Spaces B. Manifolds c. Topological Dynamics and Ergodic Theory D. Axiom A Dynamical Systems References Index

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