Center manifolds for random dynamical systems with generalized trichotomies
In this paper, we consider small perturbations of linear random dynamical systems evolving on a Banach space and admitting a general form of trichotomy. We prove the existence of invariant center manifolds in both continuous and discrete-time. Furthermore, we provide several illustrative examples.
Elmentve itt :
| Szerzők: | |
|---|---|
| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2024
|
| Sorozat: | Electronic journal of qualitative theory of differential equations
|
| Kulcsszavak: | Dinamikai rendszer, Differenciálegyenlet - nemlineáris |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2024.1.78 |
| Online Access: | http://acta.bibl.u-szeged.hu/88880 |
| Tartalmi kivonat: | In this paper, we consider small perturbations of linear random dynamical systems evolving on a Banach space and admitting a general form of trichotomy. We prove the existence of invariant center manifolds in both continuous and discrete-time. Furthermore, we provide several illustrative examples. |
|---|---|
| Terjedelem/Fizikai jellemzők: | 31 |
| ISSN: | 1417-3875 |