Artículo
Continuity and topological structural stability for nonautonomous random attractors
Autor/es | Caraballo Garrido, Tomás
Carvalho, Alexandre N. Langa Rosado, José Antonio Oliveira Sousa, Alexandre N. |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2021-09-29 |
Fecha de depósito | 2023-07-13 |
Publicado en |
|
Resumen | In this work, we study the continuity and topological structural stability of attractors for nonautonomous random differential equations obtained by small bounded random perturbations of autonomous semilinear problems. ... In this work, we study the continuity and topological structural stability of attractors for nonautonomous random differential equations obtained by small bounded random perturbations of autonomous semilinear problems. First, we study the existence and permanence of unstable sets of hyperbolic solutions. Then, we use this to establish the lower semicontinuity of nonautonomous random attractors and to show that the gradient structure persists under nonautonomous random perturbations. Finally, we apply the abstract results in a stochastic differential equation and in a damped wave equation with a perturbation on the damping. |
Cita | Caraballo Garrido, T., Carvalho, A.N., Langa Rosado, J.A. y Oliveira Sousa, A.N. (2021). Continuity and topological structural stability for nonautonomous random attractors. Stochastics and Dynamics, 22 (7), 2240024-1. https://doi.org/10.1142/S021949372240024X. |