23 citations · 23 across the 2 of their papers we have counts for
3 papers
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…
math.DS2010★ 23 cited
Periodic shadowing and -stability
Alexey Osipov, Sergei Yu. Pilyugin, Sergey Tikhomirov
We show that the following three properties of a diffeomorphism of a smooth closed manifold are equivalent: (i) belongs to the -interior of the set of diffeomorphisms…