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. and PILYUGIN, Sergei Yu. Lyapunov functions, shadowing and topological stability. Topological Methods in Nonlinear Analysis. Online. 12 April 2016. Vol. 43, no. 1, pp. 231 - 240. [Accessed 6 July 2025].

Issue

Vol 43, No 1 (March 2014)

Section

Articles

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