Mathematics – Dynamical Systems
Scientific paper
2011-02-06
Osipov A.V., Nondensity of orbital shadowing property in C^1-topology, Saint-Petersburg Mathematical Journal, 2011, Vol. 22, N
Mathematics
Dynamical Systems
This paper is a preliminary English translation of the corresponding paper in Russian published in Algebra and analysis, 2010,
Scientific paper
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.
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