Tracking Properties of Trajectories On Random Attracting Sets

The theory of random attracting sets highlights interesting properties of the asymptotic behaviour of some stochastic differential equations. In this paper some results on the relation between the dynamics on random attractors and stochastic inertial manifolds, and the dynamics in the associated ran...

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Detalles Bibliográficos
Autores: Caraballo Garrido, Tomás, Langa Rosado, José Antonio
Tipo de recurso: artículo
Fecha de publicación:1999
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/23729
Acceso en línea:http://hdl.handle.net/11441/23729
https://doi.org/10.1080/07362999908809605
Access Level:acceso abierto
Palabra clave:Random attracting sets
stochastic inertial manifolds
Descripción
Sumario:The theory of random attracting sets highlights interesting properties of the asymptotic behaviour of some stochastic differential equations. In this paper some results on the relation between the dynamics on random attractors and stochastic inertial manifolds, and the dynamics in the associated random dynamical system are studied. In particular, some tracking properties of trajectories on random attractors and a general result on the asymptotic completeness of stochastic inertial manifolds are shown.