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

2024/05/27 by Noriaki Kawaguchi, Kawaguchi, Noriaki
Physics and Astronomy · Mathematics · Computer Science · #Quantum chaos and dynamical systems #Mathematical Dynamics and Fractals #Cellular Automata and Applications

paper · pdf · doi:10.48550/arxiv.2406.15433

Abstract

In [13], for any continuous self-map of a compact metric space with s-limit shadowing, by using a G_δ-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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