On Limit Sets of Monotone Maps on Dendroids
| Autor: | Makhrova E.N. |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Applied Mathematics and Nonlinear Sciences, Vol 5, Iss 2, Pp 311-316 (2020) |
| Druh dokumentu: | article |
| ISSN: | 2444-8656 |
| DOI: | 10.2478/amns.2020.2.00056 |
| Popis: | Let X be a dendrite, f : X → X be a monotone map. In the papers by I. Naghmouchi (2011, 2012) it is shown that ω-limit set ω(x, f ) of any point x ∈ X has the next properties: (1)ω(x,f)⊆Per(f)¯\omega (x,f) \subseteq \overline {Per(f)} , where Per( f ) is the set of periodic points of f ;(2)ω(x, f ) is either a periodic orbit or a minimal Cantor set. |
| Databáze: | Directory of Open Access Journals |
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