Periodic shadowing and $\Omega$-stability
Dynamical Systems
2010-10-19 v1
Abstract
We show that the following three properties of a diffeomorphism of a smooth closed manifold are equivalent: (i) belongs to the -interior of the set of diffeomorphisms having periodic shadowing property; (ii) has Lipschitz periodic shadowing property; (iii) is -stable.
Keywords
Cite
@article{arxiv.1010.3686,
title = {Periodic shadowing and $\Omega$-stability},
author = {Alexey Osipov and Sergei Yu. Pilyugin and Sergey Tikhomirov},
journal= {arXiv preprint arXiv:1010.3686},
year = {2010}
}
Comments
21 pages