Authors: | Đorić, Maša Katić, Jelena |
Affiliations: | Computer Science Mathematical Institute of the Serbian Academy of Sciences and Arts |
Title: | Polynomial Entropy of Induced Maps of Circle and Interval Homeomorphisms | Journal: | Qualitative Theory of Dynamical Systems | Volume: | 22 | First page: | 103 | Issue Date: | 2023 | ISSN: | 1575-5460 | DOI: | 10.1007/s12346-023-00806-y | Abstract: | We compute the polynomial entropy of the induced maps on hyperspace for a homeomorphism f of an interval or a circle with finitely many non-wandering points. Also, we give a generalization for the case of an interval homeomorphism with an infinite non-wandering set. |
Keywords: | Circle homeomorphisms | Hyperspaces | Induced maps | Interval homeomorphisms | Polynomial entropy | Publisher: | Springer Link |
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