Lipschitz shadowing implies structural stability
Dynamical Systems
2010-10-19 v1
Abstract
We show that the Lipschitz shadowing property of a diffeomorphism is equivalent to structural stability. As a corollary, we show that an expansive diffeomorphism having the Lipschitz shadowing property is Anosov.
Keywords
Cite
@article{arxiv.1010.3688,
title = {Lipschitz shadowing implies structural stability},
author = {Sergei Yu. Pilyugin and Sergey Tikhomirov},
journal= {arXiv preprint arXiv:1010.3688},
year = {2010}
}
Comments
11 pages