Szczegóły publikacji
Opis bibliograficzny
Distributional chaos via isolating segments / Piotr OPROCHA, Paweł Wilczyński // Discrete and Continuous Dynamical Systems. Series B ; ISSN 1531-3492. — 2007 — vol. 8 no. 2, s. 347–356. — Bibliogr. s. 355–356, Abstr.
Autorzy (2)
- AGHOprocha Piotr
- Wilczyński Paweł
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 35296 |
|---|---|
| Data dodania do BaDAP | 2007-11-08 |
| Tekst źródłowy | URL |
| DOI | 10.3934/dcdsb.2007.8.347 |
| Rok publikacji | 2007 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Discrete and Continuous Dynamical Systems, Series B |
Abstract
Recently, Srzednicki and Wojcik developed a method based on Waewski Retract Theorem which allows, via construction of so called isolating segments, a proof of topological chaos (positivity of topological entropy) for periodically forced ordinary differential equations. In this paper we show how to arrange isolating segments to prove that a given system exhibits distributional chaos. As an example, we consider planar differential equation (z) over dot = (1 + e(ikt)\z\(2))((z) over bar) for parameter values 0 < k <= 0.5044.
