Orbital shadowing property on chain transitive sets for generic diffeomorphisms-Reference-Cited by-同舟云学术

Orbital shadowing property on chain transitive sets for generic diffeomorphisms

Published:2020-07-01 Issue:1 Volume:12 Page:146-154
ISSN:2066-7752
Container-title:Acta Universitatis Sapientiae, Mathematica
language:en
Short-container-title:

Author:

Lee Manseob¹

Affiliation:

1. Department of Mathematics , Mokwon University , Daejeon , 302-729, Korea

Abstract

Abstract Let f : M → M be a diffeomorphism on a closed smooth n(≥ 2) dimensional manifold M. We show that C1 generically, if a diffeomorphism f has the orbital shadowing property on locally maximal chain transitive sets which admits a dominated splitting then it is hyperbolic.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/ausm-2020-0009

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