Volume-Preserving Diffeomorphisms with Periodic Shadowing
نویسنده
چکیده
We show that if a volume-preserving diffeomorphism belongs to the C1-interior of the set of all volume preserving diffeomorphisms having the periodic shadowing property then it is Anosov. Mathematics Subject Classification: 37C10, 37C50, 37D20
منابع مشابه
The ergodic shadowing property for robust and generic volume-preserving diffeomorphisms
In this paper, we show the followings: (i) If a volume preserving diffeomorphism f belongs to the C-interior of the set of all volume preserving diffeomorphims having the ergodic shadowing property then it is transitive Anosov. Moreover, (ii) if a C-generic volume-preserving diffeomorphism f has the ergodic shadowing property then it is transitive Anosov. M.S.C. 2010: 37C50, 37D20.
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