Devaney chaos plus shadowing implies distributional chaos
Dynamical Systems
2016-11-01 v1
Abstract
We explore connections among the regional proximal relation, the asymptotic relation and the distal relation for a topological dynamical system with the shadowing property, and show that if a Devaney chaotic system has the shadowing property then it is distributionally chaotic.
Cite
@article{arxiv.1609.03168,
title = {Devaney chaos plus shadowing implies distributional chaos},
author = {Jian Li and Jie Li and Siming Tu},
journal= {arXiv preprint arXiv:1609.03168},
year = {2016}
}
Comments
accepted by Chaos