Lyapunov functions via Whitney's size functions

Published 2 Apr 2014 in math.DS | (1404.0595v1)

Abstract: In this paper we present a technique for constructing Lyapunov functions based on Whitney's size functions. Applications to asymptotically stable equilibrium points, isolated sets, expansive homeomorphisms and continuum-wise expansive homeomorphisms are given.

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Alfonso Artigue

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