On the local aspects of distributional chaos
| Autor: | Ryszard J. Pawlak, Anna Loranty |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Pure mathematics
Dynamical systems theory Applied Mathematics Chaotic General Physics and Astronomy Statistical and Nonlinear Physics 01 natural sciences 010305 fluids & plasmas CHAOS (operating system) Set (abstract data type) 0103 physical sciences Point (geometry) Uncountable set 010306 general physics Mathematical Physics Mathematics Unit interval Envelope (motion) |
| Zdroj: | Chaos (Woodbury, N.Y.). 29(1) |
| ISSN: | 1089-7682 |
| Popis: | In this paper, the notion of a distributionally chaotic point (connected with focusing of an uncountable distributionally scrambled set and its envelope around this point) is introduced. The theorems dealing with the existence of such points for selfmaps of the closed unit interval and the possibilities of approximation of nonautonomous discrete dynamical systems by systems with i-stable and p-DC1 points are proved. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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