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Mostrando ítems 21-30 de 62
Artículo
Determining asymptotic behavior from the dynamics on attracting sets
(Springer, 1999-04)
Two tracking properties for trajectories on attracting sets are studied. We prove that trajectories on the full phase space can be followed arbitrarily closely by skipping from one solution on the global attractor to ...
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
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
Permanence and asymptotically stable complete trajectories for nonautonomous Lotka-Volterra models with diffusion
(Society for Industrial and Applied Mathematics, 2009)
Lotka-Volterra systems are the canonical ecological models used to analyze population dynamics of competition, symbiosis or prey-predator behaviour involving different interacting species in a fixed habitat. Much of the ...
Artículo
A Stochastic Pitchfork Bifurcation in a Reaction-Diffusion Equation
(2001)
We study in some detail the structure of the random attractor for the Chafee{Infante reaction{di¬usion equation perturbed by a multiplicative white noise, du = (¢u + u ¡ u3) dt + ¼ u ¯ dWt; x 2 D » Rm: First we prove, ...
Artículo
The Exponential Behaviour and Stabilizability of Stochastic 2D-Navier-Stokes Equations
(2002)
Some results on the pathwise exponential stability of the weak solutions to a stochastic 2D-Navier-Stokes equation are established. The first ones are proved as a consequence of the exponential mean square stability of ...
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 ...
Artículo
Semimartingale attractors for Allen-Cahn SPDEs driven by space-time white noise I: existence and finite dimensional asymptotic behavior
(World Scientific, 2004)
We delve deeper into the study of semimartingale attractors that we recently introduced in Allouba and Langa [4] H. Allouba and J.A. Langa, Semimartingale attractors for generalized Allen-Cahn SPDEs driven by space-time ...
Artículo
Characterization of non-autonomous attractors of a perturbed infinite-dimensional gradient system
(Elsevier, 2007-05-15)
In this paper we determine the exact structure of the pullback attractors in non-autonomous problems that are perturbations of autonomous gradient systems with attractors that are the union of the unstable manifolds of a ...