Nondensity of orbital shadowing property in C^1-topology
arXiv:1102.1135
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.
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