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arXiv · 2406.15433

Some results on s-limit shadowing and Li-Yorke type chaos

Noriaki Kawaguchi
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Abstract

In [13], for any continuous self-map of a compact metric space with s-limit shadowing, by using a $G_\delta$-partition of the phase space, a global description of Li-Yorke type chaos (with respect to several particular Furstenberg families) is obtained. In this paper, we complement the results in [13] by some results concerning the s-limit shadowing and general Furstenberg families. An example is also given to illustrate the results.

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Noriaki Kawaguchi. 2024-05-27. Some results on s-limit shadowing and Li-Yorke type chaos. https://arxiv.org/abs/2406.15433

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