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Article
Upper Semicontinuity of Attractors for Small Random Perturbations of Dynamical Systems
(1998)
The relationship between random attractors and global attractors for dynamical systems is studied. If a partial differential equation is perturbed by an ²¡small random term and certain hypotheses are satisfied, the upper ...
Article
Determining asymptotic behavior from the dynamics on attracting sets
(Springer, 1999-04)
Two tracking properties for trajectories on attracting sets are studied. We prove that trajectories on the full phase space can be followed arbitrarily closely by skipping from one solution on the global attractor to ...
PhD Thesis
Atractores y comportamiento finito-dimensional en sistemas dinámicos aleatorios
(1998)
"En el Capítulo 1, presentamos una síntesis de los resultados básicos sobre atractores globales que pueden encontrarse en la literatura sobre este tema. Una de las propiedades más interesantes de estos compactos es la ...
Article
Tracking Properties of Trajectories On Random Attracting Sets
(1999)
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 ...