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.
Citation
Alexey A. Petrov. Sergei Yu. Pilyugin. "Lyapunov functions, shadowing and topological stability." Topol. Methods Nonlinear Anal. 43 (1) 231 - 240, 2014.
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