Preface
CHAPTER 1. Foundations
1.1. Manifolds
1.2. Definition of a Dynamical System
1.3. Elements of Topological Dynamics
1.4. Linear maps
1.5. Grobman-Hartman Theorem
1.6. Hyperbolic Sets
1.7. Basic Theorems for Hyperbolic Sets
1.8. Nontrivial attractors and repellers
1.9. Expansiveness,mixing, and shadowing
BibliographicNotes and Panoramas
CHAPTER 2. Dynamics of Degree One Circle Maps
2.1. Degree of circle maps
2.2. The Poincar´e... (More)
