Nondensity of orbital shadowing property in C^1-topology
Dynamical Systems
2011-02-08 v1
Abstract
The orbital shadowing property (OSP) of discrete dynamical systems on smooth closed manifolds is considered. Nondensity of OSP with respect to the C^1-topology is proved. The proof uses the method of skew products developed by Yu.S. Ilyashenko and A.S. Gorodetski.
Cite
@article{arxiv.1102.1135,
title = {Nondensity of orbital shadowing property in C^1-topology},
author = {Alexey V. Osipov},
journal= {arXiv preprint arXiv:1102.1135},
year = {2011}
}
Comments
This paper is a preliminary English translation of the corresponding paper in Russian published in Algebra and analysis, 2010, Vol. 22, N 2. It contains 34 pages and 3 figures