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Mostrando ítems 1-10 de 22
Artículo
The sub-supertrajectory method. Application to the nonautonomous competition Lotka-Volterra model
(Sociedad Española de Matemática Aplicada, 2010)
In this paper we study in detail the pullback and forwards attractions to non-autonomous competition Lotka-Volterra system. In particular, under some conditions on the parameters, we prove the existence of a unique ...
Artículo
Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains
(2013)
We show that the stochastic flow generated by the 2-dimensional Stochastic Navier-Stokes equations with rough noise on a Poincar´e-like domain has a unique random attractor. One of the technical problems associated with ...
Artículo
A Non-Autonomous Strongly Damped Wave Equation: Existence and Continuity of the Pullback Attractor
(2011)
In this paper we consider the strongly damped wave equation with time dependent terms utt − u − γ(t) ut + β"(t)ut = f(u), in a bounded domain ⊂ Rn, under some restrictions on β"(t), γ(t) and growth restrictions on the ...
Artículo
Non-autonomous morse-decomposition and Lyapunov functions for gradient-like processes
(2013)
We define (time dependent) Morse-decompositions for non-autonomous evolution processes (non-autonomous dynamical systems) and prove that a non-autonomous gradient-like evolution process possesses a Morsedecomposition on ...
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
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
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
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
On the long time behavior of non-autonomous Lotka–Volterra models with diffusion via the sub-supertrajectory method
(Elsevier, 2010-07-15)
In this paper we study in detail the geometrical structure of global pullback and forwards attractors associated to non-autonomous Lotka-Volterra systems in all the three cases of competition, symbiosis or prey-predator. ...
Artículo
Biodiversity and vulnerability in a 3D mutualistic system
(American Institute of Mathematical Sciences, 2014-10)
In this paper we study a three dimensional mutualistic model of two plants in competition and a pollinator with cooperative relation with plants. We compare the dynamical properties of this system with the associated ...