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https://research.matf.bg.ac.rs/handle/123456789/126| Title: | On the polynomial entropy for morse gradient systems | Authors: | Katić, Jelena Perić, Milan |
Affiliations: | Differential Equations | Keywords: | Morse gradient system;polynomial entropy | Issue Date: | 26-Jun-2019 | Journal: | Mathematica Slovaca | Abstract: | We adapt the construction from [HAUSEUX, L. - LE ROUX, F.: Polynomial entropy of Brouwer homeomorphisms, arXiv:1712.01502 (2017)] to obtain an easy method for computing the polynomial entropy for a continuous map of a compact metric space with finitely many non-wandering points. We compute the maximal cardinality of a singular set of Morse negative gradient systems and apply this method to compute the polynomial entropy for Morse gradient systems on surfaces. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/126 | ISSN: | 01399918 | DOI: | 10.1515/ms-2017-0251 |
| Appears in Collections: | Research outputs |
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