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Mostrando ítems 11-20 de 72
Artículo
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 ...
Artículo
Stability and random attractors for a reaction-diffusion equation with multiplicative noise
(2000)
We study the asymptotic behaviour of a reaction-diffusion equation, and prove that the addition of multiplicative white noise (in the sense of Itˆo) stabilizes the stationary solution x 0. We show in addition that this ...
Artículo
Stability of Gradient Semigroups Under Perturbations
(2011)
In this paper we prove that gradient-like semigroups (in the sense of Carvalho and Langa (2009 J. Diff. Eqns 246 2646–68)) are gradient semigroups (possess a Lyapunov function). This is primarily done to provide conditions ...
Artículo
Finite-Dimensionality of Tempered Random Uniform Attractors
(Springer New York, 2021)
Finite-dimensional attractors play an important role in finite-dimensional reduction of PDEs in mathematical modelization and numerical simulations. For non-autonomous random dynamical systems, Cui and Langa (J Differ ...
Ponencia
Approximation of attractors for multivalued random dynamical systems
(Masaryk University, 2001)
The concept of global attractor for stochastic partial differential inclusions has been recently introduced as a joint generalization of the theory of random attractors for random dynamical systems and global attractors ...
Artículo
Global and cocycle attractors for non-autonomous reaction-diffusion equations. The case of null upper Lyapunov exponent
(Elsevier, 2018-11-05)
In this paper we obtain a detailed description of the global and cocycle attractors for the skew-product semiflows induced by the mild solutions of a family of scalar linear-dissipative parabolic problems over a minimal and ...
Artículo
Global attractors for multivalued random dynamical systems generated by random differential inclusions with multiplicative noise
(2001)
In this paper we consider a stochastic differential inclusion with multiplicative noise. It is shown that it generates a multivalued random dynamical system for which there also exists a global random attractor.
Artículo
The effect of noise on the chafee-infante equation: a nonlinear case study
(2006)
We investigate the effect of perturbing the Chafee-Infante scalar reaction diffusion equation, ut−Δu = βu−u3, by noise. While a single multiplicative Itˆo noise of sufficient intensity will stabilise the origin, its ...
Artículo
Informational structures: A dynamical system approach for integrated information
(Public Library of Science, 2018-09-13)
Integrated Information Theory (IIT) has become nowadays the most sensible general theory of consciousness. In addition to very important statements, it opens the door for an abstract (mathematical) formulation of the theory. ...
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 ...