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math.DS2011
Inverse periodic shadowing properties
Alexey V. Osipov
We consider inverse periodic shadowing properties of discrete dynamical systems generated by diffeomorphisms of closed smooth manifolds. We show that the -interior of the set…
math.DS2011
Nondensity of orbital shadowing property in C^1-topology
Alexey V. Osipov
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…