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 کاملLIMIT AVERAGE SHADOWING AND DOMINATED SPLITTING
In this paper the notion of limit average shadowing property is introduced for diffeomorphisms on a compact smooth manifold M and a class of diffeomorphisms is given which has the limit average shadowing property, but does not have the shadowing property. Moreover, we prove that for a closed f-invariant set Lambda of a diffeomorphism f, if Lambda is C1-stably limit average shadowing and t...
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 کاملC-stably Shadowable Conservative Diffeomorphisms Are Anosov
In this short note we prove that if a symplectomorphism f is C-stably shadowable, then f is Anosov. The same result is obtained for volume-preserving diffeomorphisms.
متن کاملLimit Shadowing Property
In this paper pseudoorbits of discrete dynamical systems are considered such that the one{step errors of the orbits tend to zero with increasing indices. First it is shown that close to hyperbolic sets such orbits are shadowed by true trajectories of the system with shadowing errors also tending to zero. Then the rates of convergence are studied via considering pseudoorbits such that the error ...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2015
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2015/751769