Asymptotic orbital shadowing property for diffeomorphisms

Let M be a closed smooth Riemannian manifold and let f : M → M be a diffeomorphism. We show that if f has the C1 robustly asymptotic orbital shadowing property then it is an Anosov diffeomorphism. Moreover, for a C1 generic diffeomorphism f, if f has the asymptotic orbital shadowing property then it...

Full description

Bibliographic Details
Main Author: Lee Manseob
Format: Article
Language:English
Published: De Gruyter 2019-04-01
Series:Open Mathematics
Subjects:
Online Access:http://www.degruyter.com/view/j/math.2019.17.issue-1/math-2019-0002/math-2019-0002.xml?format=INT