Diffeomorphisms with weak 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 کاملWeak Inverse Shadowing and Genericity
We study the genericity of the first weak inverse shadowing property and the second weak inverse shadowing property in the space of homeomorphisms on a compact metric space, and show that every shift homeomorphism does not have the first weak inverse shadowing property but it has the second weak inverse shadowing property.
متن کاملC-stably Weak Shadowing Chain Components Are Partially Hyperbolic
Let f be a diffeomorphism of a closed C∞ three-dimensional manifold. In this paper, we introduce the notion of C1-stably weak shadowing for a closed f -invariant set, and prove that C1-generically, for an aperiodic chain component Cf of f isolated in the chain recurrent set, if f|Cf is C 1-stably weak shadowing, then there are a C1-neighborhood U(f) of f and an open and dense subset V of U(f) s...
متن کاملThe 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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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 2001
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm168-1-2