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Mostrando ítems 11-20 de 41
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
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
Continuity and topological structural stability for nonautonomous random attractors
(World scientific, 2021-09-29)
In this work, we study the continuity and topological structural stability of attractors for nonautonomous random differential equations obtained by small bounded random perturbations of autonomous semilinear problems. ...
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
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.
Tesis Doctoral
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 ...
Tesis Doctoral
Atractores pullback existencia y estructura para una ecuación de ondas con amortiguamiento no autónomo
(2011)
Este trabajo está dividido en dos partes. Una primera en la que se trata la parte teórica de los sistemas dinámicos autónomos dentro del marco de la teoría de los semigrupos, dando una visión global de esta teoría clásica, ...