Pregled bibliografske jedinice broj: 1085929
Hyers-Ulam stability for hyperbolic random dynamics
Hyers-Ulam stability for hyperbolic random dynamics // Fundamenta mathematicae, 255 (2021), 1; 69-90 doi:10.4064/fm971-10-2020 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1085929 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Hyers-Ulam stability for hyperbolic random
dynamics
Autori
Backes, Lucas ; Dragičević, Davor
Izvornik
Fundamenta mathematicae (0016-2736) 255
(2021), 1;
69-90
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hyers-Ulam stability, hyperbolicity, random dynamical systems
Sažetak
We prove that small nonlinear perturbations of random linear dynamics admitting a tempered exponential dichotomy have a random version of the shadowing property. As a consequence, if the exponential dichotomy is uniform, we get that the random linear dynamics is Hyers-Ulam stable. Moreover, we apply our results to study the conservation of Lyapunov exponents of the random linear dynamics subjected to nonlinear perturbations.
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:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
