arXiv:1311.3872 Abstract | arXiv Analytics

arXiv:1311.3872 [math.DS]Abstract References Reviews Resources

Lyapunov functions, shadowing, and topological stability

Published 2013-11-15Version 1

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.

Comments: 11 pages

Categories: math.DS

Keywords: topological stability, lyapunov functions, lyapunov type functions, compact metric space, nonhyperbolic behavior

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