Lectures on Fractal Geometry and Dynamical Systems
About this Title
Yakov Pesin, Pennsylvania State University, University Park, PA and Vaughn Climenhaga, Pennsylvania State University, University Park, PA
Publication: The Student Mathematical Library
Publication Year
2009: Volume 52
ISBNs: 978-0-8218-4889-0 (print); 978-1-4704-1221-0 (online)
DOI: http://dx.doi.org/10.1090/stml/052
MathSciNet review: MR2560337
MSC: Primary 37D45; Secondary 28A78, 28A80, 37C45
Table of Contents
Front/Back Matter
Chapters
- Chapter 1. Basic concepts and examples
- Chapter 2. Fundamentals of dimension theory
- Chapter 3. Measures: Definitions and examples
- Chapter 4. Measures and dimensions
- Chapter 5. Discrete-time systems: The FitzHugh–Nagumo model
- Chapter 6. The bifurcation diagram for the logistic map
- Chapter 7. Chaotic attractors and persistent chaos
- Chapter 8. Horseshoes and intermittent chaos
- Chapter 9. Continuous-time systems: The Lorenz model
- Appendix
- Hints to selected exercises