Spaces of Dynamical Systems / / Sergei Yu. Pilyugin.
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| Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1 |
|---|---|
| VerfasserIn: | |
| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2019] ©2019 |
| Year of Publication: | 2019 |
| Edition: | 2. rev. and exten. edition |
| Language: | English |
| Series: | De Gruyter Studies in Mathematical Physics ,
3 |
| Online Access: | |
| Physical Description: | 1 online resource (XV, 241 p.) |
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Table of Contents:
- Frontmatter
- Contents
- Preface to the first edition
- Preface to the second edition
- List of main symbols
- 1. Dynamical systems
- 2. Topologies on spaces of dynamical systems
- 3. Equivalence relations
- 4. Hyperbolic fixed point
- 5. Hyperbolic rest point and hyperbolic closed trajectory
- 6. Transversality
- 7. Hyperbolic sets
- 8. Anosov diffeomorphisms
- 9. Smale’s horseshoe and chaos
- 10. Closing lemma
- 11. C0-generic properties of dynamical systems
- 12. Shadowing of pseudotrajectories in dynamical systems
- 13. Invariant measures
- A. Scheme of the proof of the Mañé theorem
- B. Lectures on selected chapters of the history of differential equations and dynamical systems
- Bibliography
- Index