Some criteria of chaos in non-autonomous discrete systems
Dynamical Systems
2019-03-05 v1
Abstract
This paper establishes some criteria of chaos in non-autonomous discrete systems. Several criteria of strong Li-Yorke chaos are given. Based on these results, some criteria of distributional chaos in a sequence are established. Moreover, several criteria of distributional chaos induced by coupled-expansion for an irreducible transition matrix are obtained. Some of these results not only extend the existing related results for autonomous discrete systems to non-autonomous discrete systems, but also relax the assumptions of the counterparts. One example is provided for illustration.
Keywords
Cite
@article{arxiv.1903.01187,
title = {Some criteria of chaos in non-autonomous discrete systems},
author = {Hua Shao and Guanrong Chen and Yuming Shi},
journal= {arXiv preprint arXiv:1903.01187},
year = {2019}
}
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14 pages