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Artículo
Gradient Infinite-Dimensional Random Dynamical Systems
(2012)
In this paper we introduce the concept of a gradient random dynamical system as a random semiflow possessing a continuous random Lyapunov function which describes the asymptotic regime of the system. Thus, we are able ...
Artículo
Flattening, squeezing and the existence of random attractors
(Royal Society, 2007-01)
The study of qualitative properties of random and stochastic differential equations is now one of the most active fields in the modern theory of dynamical systems. In the deterministic case, the properties of flattening ...
Artículo
Stabilisation of differential inclusions and PDEs without uniqueness by noise
(2008)
We prove that the asymptotic behaviour of partial differential inclusions and partial differential equations without uniqueness of solutions can be stabilised by adding some suitable Itˆo noise as an external perturbation. ...