Chapter 7. Hyperbolic sets

Kapitel in diesem Buch

1. Frontmatter i
2. Preface vii
3. Nomenclature xi
4. Contents xiii
5. Chapter 1. Dynamical systems 1
6. Chapter 2. Topologies on spaces of dynamical systems 16
7. Chapter 3. Equivalence relations 26
8. Chapter 4. Hyperbolic fixed point 37
9. Chapter 5. Hyperbolic rest point and hyperbolic closed trajectory 67
10. Chapter 6. Transversality 78
11. Chapter 7. Hyperbolic sets 92
12. Chapter 8. Anosov diffeomorphisms 119
13. Chapter 9. Smale’s horseshoe and chaos 126
14. Chapter 10. Closing Lemma 135
15. Chapter 11. C⁰-generic properties of dynamical systems 141
16. Chapter 12. Shadowing of pseudotrajectories in dynamical systems 159
17. Appendix A. Scheme of the proof of the Mañé theorem 181
18. Appendix B. Lectures on the history of differential equations and dynamical systems 192
19. Bibliography 223
20. Index 227