Szczegóły publikacji
Opis bibliograficzny
Asymptotic stability of discrete cocycles / Grzegorz GUZIK // Journal of Difference Equations and Applications ; ISSN 1023-6198. — 2015 — vol. 21 no. 11, s. 1044–1057. — Bibliogr. s. 1057
Autor
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 95852 |
|---|---|
| Data dodania do BaDAP | 2016-02-02 |
| DOI | 10.1080/10236198.2015.1077813 |
| Rok publikacji | 2015 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Journal of Difference Equations and Applications |
Abstract
We introduce the notion of asymptotic stability of sequences of multifunctions associated with discrete cocycles. Some sufficient conditions for existence of attracting sets are given. The use of the topological (Kuratowski's) limits, as less complicated as commonly used Hausdorff metric, let us to weaken many standard assumptions. We show that in considered case existence of attractor is a property of a cocycle mapping itself and does not depend on properties of a parameter nor a state space. The obtained results generalize earlier on iterated function systems and can be applied for non-autonomous as well as random dynamical systems.