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arXiv · 2308.11163

S-limit shadowing and a global description of Li-Yorke type chaos

Noriaki Kawaguchi
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Abstract

For any continuous self-map of a compact metric space, we extend a partition of each chain component with respect to a chain proximal relation to a $G_\delta$-partition of the phase space. Under the assumption of s-limit shadowing, we use this partition to give a global description of Li-Yorke type chaos corresponding to several Furstenberg families.

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Noriaki Kawaguchi. 2023-08-22. S-limit shadowing and a global description of Li-Yorke type chaos. https://arxiv.org/abs/2308.11163

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