Li-Yorke and Devaney chaotic uniform dynamical systems amongst weighted shifts
| Autor: | Shirazi, Fatemah Ayatollah Zadeh, Hakimi, Elaheh, Hosseini, Arezoo, Rezavand, Reza |
|---|---|
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Topology and its Applications, 2023 (326), Article ID 108406, 15 p |
| Druh dokumentu: | Working Paper |
| Popis: | In this paper, for finite discrete field $F$, nonempty set $\Gamma$, weight vector $\mathfrak{w}=({\mathfrak w}_\alpha)_{\alpha\in\Gamma}\in F^\Gamma$ and weighted generalized shift $\sigma_{\varphi,{\mathfrak w}}:F^\Gamma\to F^\Gamma$, we find necessary and sufficient conditions for uniform dynamical system $(F^\Gamma,\sigma_{\varphi,{\mathfrak w}})$ to be Li--Yorke chaotic. Next we find necessary and sufficient conditions for $(F^\Gamma,\sigma_{\varphi,{\mathfrak w}})$ to be Devaney chaotic. Comment: 15 pages |
| Databáze: | arXiv |
| Externí odkaz: |
|