Topologically Stable Equicontinuous Non-Autonomous Systems
Dynamical Systems
2019-06-25 v1
Abstract
We find sufficient conditions for commutative non-autonomous systems on certain metric spaces to be topologically stable. In particular, we prove that (i) Every mean equicontinuous, mean expansive system with strong average shadowing property is topologically stable. (ii) Every equicontinuous, recurrently expansive system with almost shadowing property is topologically stable. (iii) Every equicontinuous, expansive system with shadowing property is topologically stable.
Cite
@article{arxiv.1906.09815,
title = {Topologically Stable Equicontinuous Non-Autonomous Systems},
author = {Abdul Gaffar Khan and Pramod Kumar Das and Tarun Das},
journal= {arXiv preprint arXiv:1906.09815},
year = {2019}
}
Comments
14 pages