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The General Topology of Dynamical Systems
About this Title
Ethan J Akin
Publication: Graduate Studies in Mathematics
Publication Year:
1993; Volume 1
ISBNs: 978-0-8218-4932-3 (print); 978-1-4704-2064-2 (online)
DOI: https://doi.org/10.1090/gsm/001
MathSciNet review: MR1219737
MSC: Primary 58Fxx; Secondary 34C35, 54H20, 58F12, 58F15
Table of Contents
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Front/Back Matter
Chapters
- Chapter 0. Introduction: Gradient systems
- Chapter 1. Closed relations and their dynamic extensions
- Chapter 2. Invariant sets and Lyapunov functions
- Chapter 3. Attractors and basic sets
- Chapter 4. Mappings: Invariant subsets and transitivity concepts
- Chapter 5. Computation of the chain recurrent set
- Chapter 6. Chain recurrence and Lyapunov functions for flows
- Chapter 7. Topologically robust properties of dynamical systems
- Chapter 8. Invariant measures for mappings
- Chapter 9. Examples: Circles, simplex, and symbols
- Chapter 10. Fixed points
- Chapter 11. Hyperbolic sets and axiom A homeomorphisms
- Historical remarks