Lyapunov functions, shadowing, and topological stability
Dynamical Systems
2013-11-18 v1
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.
Cite
@article{arxiv.1311.3872,
title = {Lyapunov functions, shadowing, and topological stability},
author = {Alexey A. Petrov and Sergei Yu. Pilyugin},
journal= {arXiv preprint arXiv:1311.3872},
year = {2013}
}
Comments
11 pages