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arXiv · 1704.07264

Notes on Chain Recurrence and Lyapunonv Functions

John Franks
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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.

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John Franks. 2017-04-24. Notes on Chain Recurrence and Lyapunonv Functions. https://arxiv.org/abs/1704.07264

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