Szczegóły publikacji
Opis bibliograficzny
Characterizations of $\omega$-limit sets in topologically hyperbolic systems / Andrew D. Barwell, Chris Good, Piotr OPROCHA, Brian E. Raines // Discrete and Continuous Dynamical Systems. Series A ; ISSN 1078-0947. — 2013 — vol. 33 no. 5, s. 1819–1833. — Bibliogr. s. 1832–1833, Abstr. — Piotr Oprocha – dod. afiliacja: Polish Academy of Sciences
Autorzy (4)
- Barwell Andrew D.
- Good Chris
- AGHOprocha Piotr
- Raines Brian E.
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 74249 |
|---|---|
| Data dodania do BaDAP | 2013-06-25 |
| Tekst źródłowy | URL |
| DOI | 10.3934/dcds.2013.33.1819 |
| Rok publikacji | 2013 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Discrete and Continuous Dynamical Systems, Series A |
Abstract
It is well known that omega-limit sets are internally chain transitive and have weak incompressibility; the converse is not generally true, in either case. However, it has been shown that a set is weakly incompressible if and only if it is an abstract omega-limit set, and separately that in shifts of finite type, a set is internally chain transitive if and only if it is a (regular) omega-limit set. In this paper we generalise these and other results, proving that the characterization for shifts of finite type holds in a variety of topologically hyperbolic systems (defined in terms of expansive and shadowing properties), and also show that the notions of internal chain transitivity and weak incompressibility coincide in compact metric spaces.
