Shadowing and Expansivity in Sub-Spaces
Dynamical Systems
2015-05-20 v2
Abstract
We address various notions of shadowing and expansivity for continuous maps restricted to a proper subset of their domain. We prove new equivalences of shadowing and expansive properties, we demonstrate under what conditions certain expanding maps have shadowing, and generalize some known results in this area. We also investigate the impact of our theory on maps of the interval, in which context some of our results can be extended.
Cite
@article{arxiv.1111.2812,
title = {Shadowing and Expansivity in Sub-Spaces},
author = {Andrew Barwell and Chris Good and Piotr Oprocha},
journal= {arXiv preprint arXiv:1111.2812},
year = {2015}
}
Comments
18 pages