Notes on Chain Recurrence and Lyapunonv Functions
Dynamical Systems
2017-04-25 v1
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.
Cite
@article{arxiv.1704.07264,
title = {Notes on Chain Recurrence and Lyapunonv Functions},
author = {John Franks},
journal= {arXiv preprint arXiv:1704.07264},
year = {2017}
}