Spaces of Dynamical Systems / / Sergei Yu. Pilyugin.

• 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
• Physical Description: 1 online resource (229 p.)
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110258417; 9783110645309; 9783110238570; 9783110238471; 9783110637212; 9783110288995; 9783110293722; 9783110288926
• ISSN: 2194-3532
• DOI: 10.1515/9783110258417
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Sergei Yu. Pilyugin.

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, structural stability and chaotic dynamics, also generic properties and pseudotrajectories are covered, as well as nonlinearity. The author is an experienced book writer and his work is based on years of teaching.