Pregled bibliografske jedinice broj: 731990
Admissibility, a general type of Lipschitz shadowing and structural stability
Admissibility, a general type of Lipschitz shadowing and structural stability // Communications on pure and applied analysis, 14 (2015), 3; 861-880 doi:10.3934/cpaa.2015.14.861 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 731990 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Admissibility, a general type of Lipschitz shadowing and structural stability
Autori
Dragičević, Davor
Izvornik
Communications on pure and applied analysis (1534-0392) 14
(2015), 3;
861-880
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
admissibility ; exponential dichotomies ; shadowing ; structural stability.
Sažetak
For a general one-sided nonautonomous dynamics defined by a sequence of linear operators, we consider the notion of a uniform exponential dichotomy and we characterize it completely in terms of the admissibility of a large class of function spaces. We apply those results to show that structural stability of a diffeomorphism is equivalent to a very general type of Lipschitz shadowing property. Our results extend those in~\cite{; ; ; ; ; T}; ; ; ; ; in various directions.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Sveučilište u Rijeci,
Sveučilište u Rijeci, Fakultet za matematiku
Profili:
Davor Dragičević
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
