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Listar por autor "Robinson, James C."
Mostrando ítems 1-20 de 21
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Artículo
A Comparison Between Two Theories for Multi-Valued Semiflows and Their Asymptotic Behaviour
Caraballo Garrido, Tomás; Marín Rubio, Pedro; Robinson, James C. (2003)This paper presents a comparison between two abstract frameworks in which one can treat multi-valued semiflows and their ...
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A Stochastic Pitchfork Bifurcation in a Reaction-Diffusion Equation
Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Robinson, James C. (2001)We study in some detail the structure of the random attractor for the Chafee{Infante reaction{di¬usion equation perturbed ...
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Attractors for differential equations with variable delays
Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Robinson, James C. (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.
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Attractors for The Stochastic 3D Navier-Stokes Equations
Marín Rubio, Pedro; Robinson, James C. (World Scientific Publishing, 2003)In a 1997 paper, Ball defined a generalised semiflow as a means to consider the solutions of equations without (or not ...
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Bifurcation from zero of a complete trajectory for non-autonomous logistic PDEs
Langa Rosado, José Antonio; Robinson, James C.; Suárez Fernández, Antonio (World Scientific Publishing, 2005-08)In this paper we extend the well-known bifurcation theory for autonomous logistic equations to the non-autonomous ...
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Bifurcations in non-autonomous scalar equations
Langa Rosado, José Antonio; Robinson, James C.; Suárez Fernández, Antonio (Elsevier, 2006-02)In a previous paper we introduced various definitions of stability and instability for non-autonomous differential ...
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Characterization of non-autonomous attractors of a perturbed infinite-dimensional gradient system
Carvalho, Alexandre Nolasco; Langa Rosado, José Antonio; Robinson, James C.; Suárez Fernández, Antonio (Elsevier, 2007-05-15)In this paper we determine the exact structure of the pullback attractors in non-autonomous problems that are perturbations ...
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Determining asymptotic behavior from the dynamics on attracting sets
Langa Rosado, José Antonio; Robinson, James C. (Springer, 1999-04)Two tracking properties for trajectories on attracting sets are studied. We prove that trajectories on the full phase space ...
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Existence and nonexistence of unbounded forward attractor for a class of non-autonomous reaction diffusion equations
Langa Rosado, José Antonio; Robinson, James C.; Rodríguez Bernal, Aníbal; Suárez Fernández, Antonio; Vidal López, Alejandro (American Institute of Mathematical Sciences, 2007)The goal of this work is to study the forward dynamics of positive solutions for the nonautonomous logistic equation ut − ...
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Finite-dimensional global attractors in Banach spaces
Carvalho, Alexandre Nolasco; Langa Rosado, José Antonio; Robinson, James C. (Elsevier, 2010-12-15)We provide bounds on the upper box-counting dimension of negatively invariant subsets of Banach spaces, a problem that is ...
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Forwards and pullback behaviour of a non-autonomous Lotka-Volterra system
Langa Rosado, José Antonio; Robinson, James C.; Suárez Fernández, Antonio (IOPscience, 2003-07)Lotka-Volterra systems have been extensively studied by many authors, both in the autonomous and non-autonomous cases. ...
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Permanence and asymptotically stable complete trajectories for nonautonomous Lotka-Volterra models with diffusion
Langa Rosado, José Antonio; Robinson, James C.; Rodríguez Bernal, Aníbal; Suárez Fernández, Antonio (Society for Industrial and Applied Mathematics, 2009)Lotka-Volterra systems are the canonical ecological models used to analyze population dynamics of competition, symbiosis ...
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Pullback attractors for the non-autonomous 2D Navier-Stokes equations for minimally regular forcing
García Luengo, Julia María; Marín Rubio, Pedro; Real Anguas, José; Robinson, James C. (American Institute of Mathematical Sciences, 2014)This paper treats the existence of pullback attractors for the non-autonomous 2D Navier--Stokes equations in two different ...
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Pullback permanence in a non-autonomous competitive Lotka-Volterra model
Langa Rosado, José Antonio; Robinson, James C.; Suárez Fernández, Antonio (Elsevier, 2003-05-01)The goal of this work is to study in some detail the asymptotic behaviour of a non-autonomous Lotka-Volterra model, both ...
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Solutions of The 3D Navier-Stokes Equations for Initial Data In H¿1/2: Robustness of Regularity and Numerical Verification of Regularity for Bounded Sets of Initial Data In H¿1
Marín Rubio, Pedro; Robinson, James C.; Sadowski, Witold (Elsevier, 2013)We consider the three-dimensional Navier–Stokes equations on a periodic domain. We give a simple proof of the local existence ...
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Stabilisation of linear PDEs by Stratonovich noise
Caraballo Garrido, Tomás; Robinson, James C. (2004)Some results concerning the stability and stabilisation of stochastic linear partial differential equations in the sense ...
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Stability and random attractors for a reaction-diffusion equation with multiplicative noise
Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Robinson, James C. (2000)We study the asymptotic behaviour of a reaction-diffusion equation, and prove that the addition of multiplicative white ...
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Stability, instability, and bifurcation phenomena in non-autonomous differential equations
Langa Rosado, José Antonio; Robinson, James C.; Suárez Fernández, Antonio (IOPscience, 2002-05)There is a vast body of literature devoted to the study of bifurcation phenomena in autonomous systems of differential ...
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The effect of noise on the chafee-infante equation: a nonlinear case study
Caraballo Garrido, Tomás; Crauel, Hans; Langa Rosado, José Antonio; Robinson, James C. (2006)We investigate the effect of perturbing the Chafee-Infante scalar reaction diffusion equation, ut−Δu = βu−u3, by noise. ...
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The stability of attractors for non-autonomous perturbations of gradient-like systems
Langa Rosado, José Antonio; Robinson, James C.; Suárez Fernández, Antonio; Vidal López, Alejandro (Elsevier, 2007-03-15)We study the stability of attractors under non-autonomous perturbations that are uniformly small in time. While in general ...