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Some Results on Shadowing and Local Entropy Properties of Dynamical Systems

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Abstract

We consider some local entropy properties of dynamical systems under the assumption of shadowing. In the first part, we give necessary and sufficient conditions for shadowable points to be certain entropy points. In the second part, we give some necessary and sufficient conditions for (non) h-expansiveness under the assumption of shadowing and chain transitivity; and use the result to present a counter-example for a question raised by Artigue et al. (Proc Am Math Soc 150:3369–3378, 2022).

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  1. Research Institute of Science and Technology, Tokai University, 4-1-1 Kitakaname, Hiratsuka, Kanagawa, 259-1292, Japan

    Noriaki Kawaguchi

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  1. Noriaki Kawaguchi
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Correspondence to Noriaki Kawaguchi.

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Kawaguchi, N. Some Results on Shadowing and Local Entropy Properties of Dynamical Systems. Bull Braz Math Soc, New Series 55, 18 (2024). https://doi.org/10.1007/s00574-024-00392-w

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