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Mostrando ítems 11-20 de 22
Artículo
Regularity and structure of pullback attractors for reaction-diffusion type systems without uniqueness
(Elsevier, 2016-07)
In this paper, we study the pullback attractor for a general reaction-diffusion system for which the uniqueness of solutions is not assumed. We first establish some general results for a multi-valued dynamical system to ...
Artículo
Equi-attraction and continuity of attractors for skew-product semiflows
(American Institute of Mathematical Sciences, 2016-11)
In this paper we prove the equivalence between equi-attraction and continuity of attractors for skew-product semi-flows, and equi-attraction and continuity of uniform and cocycle attractors associated to non-autonomous ...
Artículo
Skew Product Semiflows and Morse Decomposition
(2013)
This paper is devoted to the investigation of the dynamics of non-autonomous differential equations. The description of the asymptotic dynamics of non-autonomous equations lies on dynamical structures of some associated ...
Artículo
Finite-dimensional global attractors in Banach spaces
(Elsevier, 2010-12-15)
We provide bounds on the upper box-counting dimension of negatively invariant subsets of Banach spaces, a problem that is easily reduced to covering the image of the unit ball under a linear map by a collection of balls ...
Artículo
An Estimate On the Fractal Dimension of Attractors of Gradient-Like Dynamical Systems
(2012)
This paper is dedicated to estimate the fractal dimension of exponential global attractors of some generalized gradient-like semigroups in a general Banach space in terms of the maximum of the dimension of the local ...
Artículo
Existence of Pullback Attractors for Pullback Asymptotically Compact Processes
(2010)
This paper is concerned with the existence of pullback attractors for evolution processes. Our aim is to provide results that extend the following results for autonomous evolution processes (semigroups) i) An autonomous ...
Artículo
Informational structures and informational fields as a prototype for the description of postulates of the integrated information theory
(MDPI, 2019-05)
Informational Structures (IS) and Informational Fields (IF) have been recently introduced to deal with a continuous dynamical systems-based approach to Integrated Information Theory (IIT). IS and IF contain all the ...
Artículo
Morse decomposition of global attractors with infinite components
(2015)
In this paper we describe some dynamical properties of a Morse decomposition with a countable number of sets. In particular, we are able to prove that the gradient dynamics on Morse sets together with a separation assumption ...
Artículo
Continuity of Lyapunov Functions and of Energy Level for a Generalized Gradient Semigroup
(2012)
The global attractor of a gradient-like semigroup has a Morse decomposition. Associated to this Morse decomposition there is a Lyapunov function (di erentiable along solutions)-de ned on the whole phase space- which proves ...
Artículo
Estabilidad estructural topologica sobre espacios proyectados
(Universidad Nacional de Trujillo, 2016)
En este trabajo estudiamos la estabilidad estructural topológica para una familia de semigrupos no lineales Th(·) sobre espacios de Banach Xh dependiendo de un parámetro h.