Lyapunov functions, shadowing and topological stability

Authors

  • Alexey A. Petrov
  • Sergei Yu. Pilyugin

Keywords

Dynamical systems, shadowing, topological stability, Lyapunov functions

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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Published

2016-04-12

How to Cite

1.
PETROV, Alexey A. & PILYUGIN, Sergei Yu. Lyapunov functions, shadowing and topological stability. Topological Methods in Nonlinear Analysis [online]. 12 April 2016, T. 43, nr 1, s. 231–240. [accessed 31.1.2023].

Issue

Vol 43, No 1 (March 2014)

Section

Articles

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