Szczegóły publikacji
Opis bibliograficzny
Factor maps and invariant distributional chaos / Magdalena FORYŚ, Piotr OPROCHA, Paweł Wilczyński // Journal of Differential Equations ; ISSN 0022-0396. — 2014 — vol. 256 iss. 2, s. 475–502. — Bibliogr. s. 501–502, Abstr. — Publikacja dostępna online od: 2013-10-04. — Dod. afiliacja: M. Foryś – Jagiellonian University, P. Oprocha – Polish Academy of Sciences
Autorzy (3)
- AGHForyś-Krawiec Magdalena
- AGHOprocha Piotr
- Wilczyński Paweł
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 78082 |
|---|---|
| Data dodania do BaDAP | 2013-11-28 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.jde.2013.09.009 |
| Rok publikacji | 2014 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Journal of Differential Equations |
Abstract
The main aim of this article is to show that maps with the specification property have invariant distributionally scrambled sets and that this kind of scrambled set can be transferred from factor to extension under finite-to-one factor maps. This solves some open questions in the literature of the topic. We also show how our method can be applied in practice, taking as example Poincare map of time-periodic nonautonomous planar differential equation (z) over dot = v(t, z) = (1 + e(i kappa t)vertical bar z vertical bar(2))(z) over bar (3) - N where kappa and N are sufficiently small positive real numbers. (C) 2013 Elsevier Inc. All rights reserved.
