Periodic shadowing and Ω-stability
Osipov, Alexey · Pilyugin, Sergei Yu. · Tikhomirov, Sergey
Original · EN
We show that the following three properties of a diffeomorphism f of a smooth closed manifold are equivalent: (i) f belongs to the C¹-interior of the set of diffeomorphisms having periodic shadowing property; (ii) f has Lipschitz periodic shadowing property; (iii) f is Ω-stable.
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