A Conley-type Lyapunov function for the strong chain recurrent set
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DOI: 10.1016/j.topol.2021.107768
Abstract: Let $\phi:X\times\mathbb{R} \rightarrow X$ be a continuous flow on a compact metric space $(X,d)$. In this article we constructively prove the existence of a continuous Lyapunov function for $\phi$ which is strictly decreasing outside $\mathcal{SCR}_d(\phi)$.… read more here.
Keywords: recurrent set; strong chain; chain recurrent; lyapunov function ... See more keywords