Notes on Chain Recurrence and Lyapunonv Functions
Abstract
This short expository note provides an introduction to the concept of chain recurrence in topological dynamics and a proof of the existence complete Lyapunov functions for homeomorphisms of compact metric spaces due to Charles Conley. I have used it as supplementary material in introductory dynamics courses.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2017
- DOI:
- arXiv:
- arXiv:1704.07264
- Bibcode:
- 2017arXiv170407264F
- Keywords:
-
- Mathematics - Dynamical Systems;
- 37B25