Spaces of Dynamical Systems /

Spaces of Dynamical Systems / / Sergei Yu. Pilyugin.

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Dynamical systems are abundant in theoretical physics and engineering. Their understanding, with sufficient mathematical rigor, is vital to solving many problems. This work conveys the modern theory of dynamical systems in a didactically developed fashion. In addition to topological dynamics, struct...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Studies in Mathematical Physics eBook-Package
VerfasserIn:
Pilyugin, Sergei Yu.,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2012]
©2012
Year of Publication:2012
Language:English
Series:De Gruyter Studies in Mathematical Physics , 3
Online Access:
Physical Description:1 online resource (229 p.)
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Table of Contents:
  • Frontmatter
  • Preface
  • Nomenclature
  • Contents
  • Chapter 1. Dynamical systems
  • Chapter 2. Topologies on spaces of dynamical systems
  • Chapter 3. Equivalence relations
  • Chapter 4. Hyperbolic fixed point
  • Chapter 5. Hyperbolic rest point and hyperbolic closed trajectory
  • Chapter 6. Transversality
  • Chapter 7. Hyperbolic sets
  • Chapter 8. Anosov diffeomorphisms
  • Chapter 9. Smale’s horseshoe and chaos
  • Chapter 10. Closing Lemma
  • Chapter 11. C0-generic properties of dynamical systems
  • Chapter 12. Shadowing of pseudotrajectories in dynamical systems
  • Appendix A. Scheme of the proof of the Mañé theorem
  • Appendix B. Lectures on the history of differential equations and dynamical systems
  • Bibliography
  • Index

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