منابع مشابه
On Periodic Shadowing Property
In this paper, some properties of the periodic shadowing are presented. It is shown that a homeomorphism has the periodic shadowing property if and only if so does every lift of it to the universal covering space. Also, it is proved that continuous mappings on a compact metric space with the periodic shadowing and the average shadowing property also have the shadowing property and then are chao...
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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
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We consider the family of graphs ω-periodic graphs. These are graphs which arise as the limits of periodic extensions of the nearest neighbor graph on the integers. We show that all ω-periodic graphs are ameanable. We also provide examples of ω-periodic graphs which have exponential volume growth, non-linear polynomial volume growth and intermediate volume growth.
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
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We prove that, under a mild condition on the hyperbolicity of its periodic points, a map g which is topologically conjugated to a hyperbolic map (respectively, an expanding map) is also a hyperbolic map (respectively, an expanding map). In particular, this result gives a partial positive answer for a question done by A. Katok, in a related context.
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ژورنال
عنوان ژورنال: Regular and Chaotic Dynamics
سال: 2010
ISSN: 1560-3547,1468-4845
DOI: 10.1134/s1560354710020255