arXiv:1704.07264 Abstract | arXiv Analytics

arXiv:1704.07264 [math.DS]Abstract References Reviews Resources

Notes on Chain Recurrence and Lyapunonv Functions

Published 2017-04-24Version 1

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.

Categories: math.DS

Subjects: 37B25

Keywords: chain recurrence, lyapunonv functions, existence complete lyapunov functions, compact metric spaces, short expository note

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