Search Results - "Langa, José A"

Measurability of Random Attractors for Quasi Strong-to-Weak Continuous Random Dynamical Systems by Cui, Hongyong, Langa, José A., Li, Yangrong

“…In order to obtain the measurability of a random attractor, the RDS is usually required to be continuous which, however, is hard to verify in many…”
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Structural stability of invasion graphs for Lotka–Volterra systems by Almaraz, Pablo, Kalita, Piotr, Langa, José A., Soler–Toscano, Fernando

“…In this paper, we study in detail the structure of the global attractor for the Lotka–Volterra system with a Volterra–Lyapunov stable structural matrix. We…”
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Regularity and structure of pullback attractors for reaction–diffusion type systems without uniqueness by Cui, Hongyong, Langa, José A., Li, Yangrong

“…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…”
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Informational structures: A dynamical system approach for integrated information by Esteban, Francisco J, Galadí, Javier A, Langa, José A, Portillo, José R, Soler-Toscano, Fernando

“…Integrated Information Theory (IIT) has become nowadays the most sensible general theory of consciousness. In addition to very important statements, it opens…”
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The assembly and dynamics of ecological communities in an ever‐changing world by Godoy, Oscar, Soler‐Toscano, Fernando, Portillo, José R., Langa, José A.

“…Alternative perspectives on the maintenance of biodiversity and the assembly of ecological communities suggest that both processes cannot be investigated…”
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Forwards Attractor Structures in a Planar Cooperative Non-autonomous Lotka–Volterra System by Garcia-Fuentes, Juan, Kalita, Piotr, Langa, José A.

“…The global attractor of a dissipative dynamical system provides the necessary information to understand the asymptotic dynamics of all the system’s solutions…”
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Finite-Dimensionality of Tempered Random Uniform Attractors by Cui, Hongyong, Cunha, Arthur C., Langa, José A.

“…Finite-dimensional attractors play an important role in finite-dimensional reduction of PDEs in mathematical modelization and numerical simulations. For…”
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Flattening, squeezing and the existence of random attractors by Kloeden, Peter E, Langa, José A

“…The study of qualitative properties of random and stochastic differential equations is now one of the most active fields in the modern theory of dynamical…”
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What lies underneath: Precise classification of brain states using time-dependent topological structure of dynamics by Soler-Toscano, Fernando, Galadí, Javier A, Escrichs, Anira, Sanz Perl, Yonatan, López-González, Ane, Sitt, Jacobo D, Annen, Jitka, Gosseries, Olivia, Thibaut, Aurore, Panda, Rajanikant, Esteban, Francisco J, Laureys, Steven, Kringelbach, Morten L, Langa, José A, Deco, Gustavo

“…The self-organising global dynamics underlying brain states emerge from complex recursive nonlinear interactions between interconnected brain regions. Until…”
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Existence of pullback attractors for pullback asymptotically compact processes by Caraballo, Tomás, Carvalho, Alexandre N., Langa, José A., Rivero, Felipe

“…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…”
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Attractors for Multi-valued Non-autonomous Dynamical Systems: Relationship, Characterization and Robustness by Cui, Hongyong, Langa, José A., Li, Yangrong, Valero, José

“…In this paper we study cocycle attractors, pullback attractors and uniform attractors for multi-valued non-autonomous dynamical systems. We first consider the…”
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A non-autonomous strongly damped wave equation: Existence and continuity of the pullback attractor by Caraballo, Tomás, Carvalho, Alexandre N., Langa, José A., Rivero, Felipe

“…In this paper we consider the strongly damped wave equation with time-dependent terms u t t − Δ u − γ ( t ) Δ u t + β ε ( t ) u t = f ( u ) , in a bounded…”
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Extremal bounded complete trajectories for nonautonomous reaction–diffusion equations with discontinuous forcing term by Caraballo, Tomás, Langa, José A., Valero, José

“…In this paper we establish a strong comparison principle for a nonautonomous differential inclusion with a forcing term of Heaviside type. Using this…”
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On the continuity of pullback attractors for evolution processes by Carvalho, Alexandre N., Langa, José A., Robinson, James C.

“…In this paper we give general results on the continuity of pullback attractors for nonlinear evolution processes. We then revisit results of [D. Li, P.E…”
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Uniform attractors for non-autonomous random dynamical systems by Cui, Hongyong, Langa, José A.

“…This paper is devoted to establishing a (random) uniform attractor theory for non-autonomous random dynamical systems (NRDS). The uniform attractor is defined…”
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Characterization of non-autonomous attractors of a perturbed infinite-dimensional gradient system by Carvalho, Alexandre N., Langa, José A., Robinson, James C., Suárez, Antonio

“…In this paper we determine the exact structure of the pullback attractors in non-autonomous problems that are perturbations of autonomous gradient systems with…”
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The effect of noise on the Chafee-Infante equation: A nonlinear case study by Caraballo, Tomás, Crauel, Hans, Langa, José A., Robinson, James C.

“…We investigate the effect of perturbing the Chafee-Infante scalar reaction diffusion equation, u_t-\Delta u=\beta u-u^3, by noise. While a single…”
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Finite fractal dimension of pullback attractors for non-autonomous 2D Navier–Stokes equations in some unbounded domains by Langa, José A., Łukaszewicz, G., Real, J.

“…We study the asymptotic behaviour of non-autonomous 2D Navier–Stokes equations in unbounded domains for which a Poincaré inequality holds. In particular, we…”
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Micropolar meets Newtonian. The Rayleigh–Bénard problem by Kalita, Piotr, Langa, José A., Łukaszewicz, Grzegorz

“…We consider the Rayleigh–Bénard problem for the two-dimensional Boussinesq system for the micropolar fluid. Our main goal is to compare the value of the…”
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Smoothing and finite-dimensionality of uniform attractors in Banach spaces by Cui, Hongyong, Carvalho, Alexandre N., Cunha, Arthur C., Langa, José A.

“…The aim of this paper is to find an upper bound for the fractal dimension of uniform attractors in Banach spaces. The main technique we employ is essentially…”
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