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arXiv:1102.1135 [math.DS]AbstractReferencesReviewsResources

Nondensity of orbital shadowing property in C^1-topology

Alexey V. Osipov

Published 2011-02-06Version 1

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.

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
Journal: Osipov A.V., Nondensity of orbital shadowing property in C^1-topology, Saint-Petersburg Mathematical Journal, 2011, Vol. 22, N 2
Categories: math.DS
Subjects: 37C50
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