Recent development of chaos theory in topological dynamics
Dynamical Systems
2015-12-22 v1
Abstract
We give a summary on the recent development of chaos theory in topological dynamics, focusing on Li-Yorke chaos, Devaney chaos, distributional chaos, positive topological entropy, weakly mixing sets and so on, and their relationships.
Keywords
Cite
@article{arxiv.1503.06425,
title = {Recent development of chaos theory in topological dynamics},
author = {Jian Li and Xiangdong Ye},
journal= {arXiv preprint arXiv:1503.06425},
year = {2015}
}
Comments
30 pages, Acta Mathematica Sinica, English Series, 2015, published online