Pregled bibliografske jedinice broj: 1132799
A generalized Grobman-Hartman theorem for nonautonomous dynamics
A generalized Grobman-Hartman theorem for nonautonomous dynamics // Collectanea mathematica, 73 (2022), 3; 411-431 doi:10.1007/s13348-021-00327-4 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1132799 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A generalized Grobman-Hartman theorem for
nonautonomous dynamics
Autori
Backes, Lucas ; Dragičević, Davor
Izvornik
Collectanea mathematica (0010-0757) 73
(2022), 3;
411-431
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
generalized exponential dichotomies ; linearization ; Holder conjugacy
Sažetak
The purpose of this note is to extend the recent generalized version of the Grobman- Hartman theorem established by Bernardes Jr. and Messaoudi from an autonomous to the nonautonomous dynamics. More precisely, we prove that any sufficiently small perturbation of a nonautonomous linear dynamics that admits a generalized exponential dichotomy is topologically conjugated to its linear part. In addition, we prove that under certain mild additional conditions, the conjugacy is in fact H\"older continuous.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2019-04-1239 - Operatori pomaka, statistički zakoni i beskonačno-dimenzionalni dinamički sustavi (TOSLDS) (Dragičević, Davor, HRZZ - 2019-04) ( CroRIS)
Ustanove:
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
