Devaney chaos in non-autonomous discrete systems
Dynamical Systems
2016-11-23 v1
Abstract
This paper is concerned with Devaney chaos in non-autonomous discrete systems. It is shown that in its definition, the two former conditions, i.e., transitivity and density of periodic points, in a set imply the last one, i.e., sensitivity, in the case that the set is unbounded, while a similar result holds under two additional conditions in the other case that the set is bounded. Furthermore, some chaotic behavior is studied for a class of non-autonomous systems, each of which is governed by a convergent sequence of continuous maps.
Cite
@article{arxiv.1601.07393,
title = {Devaney chaos in non-autonomous discrete systems},
author = {Hao Zhu and Yuming Shi and Hua Shao},
journal= {arXiv preprint arXiv:1601.07393},
year = {2016}
}
Comments
13 pages