Smooth linearization of contractive random dynamical systems in continuous time

We establish that uniformly exponentially stable random dynamical systems on the half line have equivalent dynamics through a C m-conjugacy. This result was obtained for random differential equations as well as for random dynamical systems with a uniformly exponentially stable linear part.

Elmentve itt :
Bibliográfiai részletek
Szerző: Vasylieva Iryna
Dokumentumtípus: Folyóirat
Megjelent: 2025
Sorozat:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Dinamikus rendszer, Differenciálegyenlet
Tárgyszavak:
doi:10.14232/ejqtde.2025.1.53

Online Access:http://acta.bibl.u-szeged.hu/88933
Leíró adatok
Tartalmi kivonat:We establish that uniformly exponentially stable random dynamical systems on the half line have equivalent dynamics through a C m-conjugacy. This result was obtained for random differential equations as well as for random dynamical systems with a uniformly exponentially stable linear part.
Terjedelem/Fizikai jellemzők:31
ISSN:1417-3875