Chapter 6. Transversality

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This chapter is in the book Spaces of Dynamical Systems

"Chapter 6. Transversality". Spaces of Dynamical Systems, Berlin, Boston: De Gruyter, 2012, pp. 78-91. https://doi.org/10.1515/9783110258417.78

(2012). Chapter 6. Transversality. In Spaces of Dynamical Systems (pp. 78-91). Berlin, Boston: De Gruyter. https://doi.org/10.1515/9783110258417.78

2012. Chapter 6. Transversality. Spaces of Dynamical Systems. Berlin, Boston: De Gruyter, pp. 78-91. https://doi.org/10.1515/9783110258417.78

"Chapter 6. Transversality" In Spaces of Dynamical Systems, 78-91. Berlin, Boston: De Gruyter, 2012. https://doi.org/10.1515/9783110258417.78

Chapter 6. Transversality. In: Spaces of Dynamical Systems. Berlin, Boston: De Gruyter; 2012. p.78-91. https://doi.org/10.1515/9783110258417.78

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Chapters in this book

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

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