Spaces of Dynamical Systems

Sergei Yu. Pilyugin, St. Petersburg State University, Russia.

• 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