Some results on shadowing and local entropy properties of dynamical systems
Dynamical Systems
2023-09-26 v1
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. Amer. Math. Soc. 150 (2022), 3369-3378].
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Cite
@article{arxiv.2309.13290,
title = {Some results on shadowing and local entropy properties of dynamical systems},
author = {Noriaki Kawaguchi},
journal= {arXiv preprint arXiv:2309.13290},
year = {2023}
}
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22 pages