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Artículo
The dimension of attractors of nonautonomous partial differential equations
(2003)
The concept of nonautonomous (or cocycle) attractor has become a proper tool for the study of the asymptotic behaviour of general nonautonomous partial differential equations. This is a time-dependent family of compact ...
Artículo
Attractors for differential equations with variable delays
(2001)
Using the relatively new concept of a pullback attractor, we present some results on the existence of attractors for differential equations with variable delay. We give a variety of examples to which our result applies.
Artículo
Capturing the non-stationarity of whole-brain dynamics underlying human brain states
(Elsevier, 2021-09-08)
Brain dynamics depicts an extremely complex energy landscape that changes over time, and its characterisation is a central unsolved problem in neuroscience. We approximate the non-stationary landscape sustained by the human ...
Artículo
Pullback attractors of nonautonomous and stochastic multivalued dynamical systems
(2003)
In this paper we study the existence of pullback global attractors for multivalued processes generated by differential inclusions. First, we define multivalued dynamical processes, prove abstract results on the existence ...