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arXiv · 1903.01187

Some criteria of chaos in non-autonomous discrete systems

Hua Shao·Guanrong Chen·Yuming Shi
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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.

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Hua Shao, Guanrong Chen, Yuming Shi. 2019-03-04. Some criteria of chaos in non-autonomous discrete systems. https://arxiv.org/abs/1903.01187

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