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arXiv · 1311.3872

Lyapunov functions, shadowing, and topological stability

Alexey A. Petrov·Sergei Yu. Pilyugin
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Abstract

We use Lyapunov type functions to give new conditions under which a homeomorphism of a compact metric space has the shadowing property. These conditions are applied to establish the topological stability of some homeomorphisms with nonhyperbolic behavior.

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Alexey A. Petrov, Sergei Yu. Pilyugin. 2013-11-15. Lyapunov functions, shadowing, and topological stability. https://arxiv.org/abs/1311.3872

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