A Type of the Shadowing Properties for Generic View Points

A Type of the Shadowing Properties for Generic View Points

We show that if a C 1 generic diffeomorphism of a closed smooth two-dimensional manifold has the average shadowing property or the asymptotic average shadowing property, then it is Anosov. Moreover, if a C 1 generic vector field of a closed smooth three-dimensional manifold has the a...

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Bibliographic Details
Main Author: Manseob Lee
Format: Article
Language:English
Published: MDPI AG 2018-03-01
Series:Axioms
Subjects:
average shadowing
asymptotic average shadowing
generic
chain transitive
Axiom A
singular Axiom A
Anosov
Online Access:http://www.mdpi.com/2075-1680/7/1/18

Internet

http://www.mdpi.com/2075-1680/7/1/18

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