Pregled bibliografske jedinice broj: 1206351
On the linearization of infinite-dimensional random dynamical systems
On the linearization of infinite-dimensional random dynamical systems // ICDEA 2022
Pariz, Francuska, 2022. str. 131-131 (predavanje, nije recenziran, sažetak, znanstveni)
CROSBI ID: 1206351 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On the linearization of infinite-dimensional random
dynamical systems
Autori
Dragičević, Davor
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
ICDEA 2022
/ - , 2022, 131-131
Skup
27th International Conference on Difference Equations and Applications
Mjesto i datum
Pariz, Francuska, 18.07.2022. - 22.07.2022
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Nije recenziran
Ključne riječi
linearization ; random dynamical systems
Sažetak
We present a new version of the Grobman-Hartman’s linearization theorem for random dynamics. Our result holds for infinite dimensional systems whose linear part is not necessarily invertible. In addition, by adding some restrictions on the non-linear perturbations, we don’t require for the linear part to be nonuniformly hyperbolic in the sense of Pesin but rather (besides requiring the existence of stable and unstable directions) allow for the existence of a third (central) direction on which we don’t prescribe any behaviour for the dynamics. Moreover, under some additional nonuniform growth condition, we prove that the conjugacies given by the linearization procedure are H¨older continuous when restricted to bounded subsets of the space. The talk will be based on the results obtained in [1].
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)
