On the shadowing and limit shadowing properties
Dynamical Systems
2019-03-26 v2
Abstract
We study the relation between the shadowing property and the limit shadowing property. We prove that if a continuous self-map of a compact metric space has the limit shadowing property, then the restriction of to the non-wandering set satisfies the shadowing property. As an application, we prove the equivalence of the two shadowing properties for equicontinuous maps.
Cite
@article{arxiv.1710.00313,
title = {On the shadowing and limit shadowing properties},
author = {Noriaki Kawaguchi},
journal= {arXiv preprint arXiv:1710.00313},
year = {2019}
}