Szczegóły publikacji
Opis bibliograficzny
On the structure of $\alpha$-limit sets of backward trajectories for graph maps / Magdalena FORYŚ-KRAWIEC, Jana HANTÁKOVÁ, Piotr OPROCHA // Discrete and Continuous Dynamical Systems. Series A ; ISSN 1078-0947. — 2022 — vol. 42 iss. 3, s. 1435–1463. — Bibliogr. s. 1462–1463, Abstr. — J. Hantáková - dod. afiliacja: Mathematical Institute of the Silesian University in Opava, Opava, Czech Republic. — P. Oprocha - dod. afiliacja: Centre of Excellence IT4Innovations - Institute for Research and Applications of Fuzzy Modeling University of Ostrava, Czech Republic
Autorzy (3)
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 138963 |
|---|---|
| Data dodania do BaDAP | 2022-02-02 |
| Tekst źródłowy | URL |
| DOI | 10.3934/dcds.2021159 |
| Rok publikacji | 2022 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Discrete and Continuous Dynamical Systems, Series A |
Abstract
In the paper we study what sets can be obtained as alpha-limit sets of backward trajectories in graph maps. We show that in the case of mixing maps, all those alpha-limit sets are omega-limit sets and for all but finitely many points x, we can obtain every omega-limits set as the alpha-limit set of a backward trajectory starting in x. For zero entropy maps, every alpha-limit set of a backward trajectory is a minimal set. In the case of maps with positive entropy, we obtain a partial characterization which is very close to complete picture of the possible situations.
