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arXiv · 2210.13719

Devaney Chaos on a Set-valued Map and Its Inverse Limit

Yingcui Zhao·Lidong Wang·Nan Wang
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Abstract

We study relationships between a set-valued map and its inverse limits about the notion of periodic point set, transitivity, sensitivity and Devaney chaos. Density of periodic point set of a set-valued map and its inverse limits implies each other. Sensitivity of a set-valued map and its inverse limits does not imply each other. Transitivity and Devaney chaos of generalized inverse limits implies the corresponding property of a set-valued map.

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Yingcui Zhao, Lidong Wang, Nan Wang. 2022-10-25. Devaney Chaos on a Set-valued Map and Its Inverse Limit. https://doi.org/10.1016/j.chaos.2023.113454

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