The general topology of dynamical systems
Ethan Akin.
Providence, R.I. : American Mathematical Society, ©1993.
x, 261 págs. : ilustraciones ; 27 cm.
Serie: Graduate studies in mathematics, ISSN 1065-7339 ; v. 1
ISBN: 0821838008
Incluye referencias bibliográficas (p. 255-258) e índice.
Reseña: MathSciNet, 94f:58041
Capítulos
- 0. Introduction: Gradient systems
- 1. Closed relations and their dynamic extensions
- 2. Invariant sets and Lyapunov functions
- 3. Attractors and basic sets
- 4. Mappings: invariant subsets and transitivity concepts
- 5. Computation of the chain recurrent set
- 6. Chain recurrence and Lyapunov functions for flows
- 7. Topologically robust properties of dynamical systems
- 8. Invariant measures for mappings
- 9. Examples: circles, simplex, and symbols
- 10. Fixed points
- 11. Hyperbolic sets and Axiom A homeomorphisms.