Generic diffeomorphisms with weak limit shadowing
نویسندگان
چکیده
منابع مشابه
Diffeomorphisms with Periodic Shadowing
We show that if a diffeomorphism has the periodic shadowing property on the chain recurrent set, then the closure of the periodic set is the chain recurrent set. Mathematics Subject Classification: 37C50
متن کاملVolume-Preserving Diffeomorphisms with Periodic Shadowing
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
متن کامل-generic Diffeomorphisms
On the one hand, we prove that the spaces of C 1 symplectomor-phisms and of C 1 volume-preserving diffeomorphisms both contain residual subsets of diffeomorphisms whose centralizers are trivial. On the other hand, we show that the space of C 1 diffeomorphisms of the circle and a non-empty open set of C 1 diffeomorphisms of the two-sphere contain dense subsets of diffeomorphisms whose centralize...
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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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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2013
ISSN: 1687-1847
DOI: 10.1186/1687-1847-2013-27