J. Langa

发表

Fractal dimension of a random invariant set

James C. Robinson, J. Langa, 2006 .

ON THE UPPER SEMICONTINUITY OF COCYCLE ATTRACTORS FOR NON-AUTONOMOUS AND RANDOM DYNAMICAL SYSTEMS

T. Caraballo, J. Langa, 2003 .

COMPARISON OF THE LONG-TIME BEHAVIOR OF LINEAR ITO AND STRATONOVICH PARTIAL DIFFERENTIAL EQUATIONS

T. Caraballo, J. Langa, 2001 .

Stability and random attractors for a reaction-diffusion equation with multiplicative noise

Tomás Caraballo, José A. Langa, James C. Robinson, 2000 .

The effect of noise on the chafee-infante equation : A nonlinear case study

Hans Crauel, Tomás Caraballo, José A. Langa, 2006 .

Stability, instability, and bifurcation phenomena in non-autonomous differential equations

José A. Langa, James C. Robinson, Antonio Suárez, 2002 .

A stochastic pitchfork bifurcation in a reaction-diffusion equation

Tomás Caraballo, José A. Langa, James C. Robinson, 2001, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

Skew Product Semiflows and Morse Decomposition

T. Caraballo, A. Carvalho, J. Langa, 2013 .

A non-autonomous Chafee–Infante equation

James C. Robinson, A. Carvalho, J. Langa, 2013 .

Non-autonomous morse-decomposition and Lyapunov functions for gradient-like processes

T. Caraballo, A. Carvalho, J. Langa, 2013 .

An estimate on the fractal dimension of attractors of gradient-like dynamical systems

T. Caraballo, A. Carvalho, J. Langa, 2012 .

Non-autonomous perturbation of autonomous semilinear differential equations: Continuity of local stable and unstable manifolds

José A. Langa, Alexandre N. Carvalho, A. Carvalho, 2007 .

Continuity of non-autonomous attractors for hyperbolic perturbation of parabolic equations

M. M. Freitas, P. Kalita, J. Langa, 2018 .

Gradient semigroups and their dynamical properties

James C. Robinson, A. Carvalho, J. Langa, 2013 .

Structure and bifurcation of pullback attractors in a non-autonomous Chafee-Infante equation

James C. Robinson, A. Carvalho, J. Langa, 2012 .

A non-autonomous strongly damped wave equation: Existence and continuity of the pullback attractor

T. Caraballo, A. Carvalho, J. Langa, 2011 .

Structure of the pullback attractor for a non-autonomous scalar differential inclusion

T. Caraballo, J. Langa, J. Valero, 2016 .

On the long time behavior of non-autonomous Lotka-Volterra models with diffusion via the sub-supertrajectory method

J. Langa, A. Rodríguez-Bernal, A. Suárez, 2010 .

The sub-supertrajectory method. Application to the nonautonomous competition Lotka-Volterra model

J. Langa, A. Rodríguez-Bernal, A. Suárez, 2010 .

Stabilisation of differential inclusions and PDEs without uniqueness by noise

T. Caraballo, J. Langa, J. Valero, 2008 .

Model transform and local parameters. Application to instantaneous attractors

J. A. Galadí, J. Langa, F. Soler-Toscano, 2022, Chaos, Solitons & Fractals.

What lies underneath: Precise classification of brain states using time-dependent topological structure of dynamics

J. A. Galadí, M. Kringelbach, G. Deco, 2021, PLoS Comput. Biol..

TRAJECTORY STATISTICAL SOLUTIONS FOR THE CAHN-HILLIARD-NAVIER-STOKES SYSTEM WITH MOVING CONTACT LINES

J. Langa, Bo You, 2021 .

Forwards and pullback behaviour of a non-autonomous Lotka?Volterra system

James C. Robinson, J. Langa, A. Suárez, 2003 .

Structure of non-autonomous attractors for a class of diffusively coupled ODE

A. Carvalho, J. Langa, R. Obaya, 2022, Discrete and Continuous Dynamical Systems - B.

Structural stability of invasion graphs for generalized Lotka--Volterra systems

P. Kalita, P. Almaraz, J. Langa, 2022, 2209.09802.

Attractors Under Autonomous and Non-autonomous Perturbations

A. Carvalho, J. Langa, M. Bortolan, 2020 .

Pullback, forward and chaotic dynamics in 1D non-autonomous linear-dissipative equations

T. Caraballo, J. Langa, R. Obaya, 2016 .

Appendix: Skew-product flows and the uniform attractor

James C. Robinson, A. Carvalho, J. Langa, 2013 .

Measurability of Random Attractors for Quasi Strong-to-Weak Continuous Random Dynamical Systems

J. Langa, Yangrong Li, Hongyong Cui, 2018 .

Squeezing and finite dimensionality of cocycle attractors for 2D stochastic Navier-Stokes equation with non-autonomous forcing

J. Langa, Hongyong Cui, M. Freitas, 2018 .

Structural stability of invasion graphs for generalized Lotka--Volterra systems

P. Kalita, P. Almaraz, J. Langa, 2022, 2209.09802.

A finite number of point observations which determine a non-autonomous fluid flow

James C. Robinson, J. Langa, 2001 .

Continuity of Dynamical Structures for Nonautonomous Evolution Equations Under Singular Perturbations

A. Carvalho, J. Langa, A. Rodríguez-Bernal, 2012, Journal of Dynamics and Differential Equations.

Finite dimensionality of attractors for non-autonomous dynamical systems given by partial differenti

B. Schmalfuß, J. Langa, 2004 .

Semimartingale attractors for Allen-Cahn SPDEs driven by space-time white noise I: existence and finite dimensional asymptotic behavior

J. Langa, Hassan Allouba, 2004, 1005.3825.

The dimension of attractors of nonautonomous partial differential equations

T. Caraballo, J. Langa, J. Valero, 2003, The ANZIAM Journal.

The pullback attractor

José A. Langa, James C. Robinson, Alexandre N. Carvalho, 2013 .

Existence results for pullback attractors

James C. Robinson, A. Carvalho, J. Langa, 2013 .

Flattening, squeezing and the existence of random attractors

Peter E. Kloeden, José A. Langa, P. Kloeden, 2007, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Bifurcations in non-autonomous scalar equations

James C. Robinson, J. Langa, A. Suárez, 2006 .

Attractors for infinite-dimensional non-autonomous dynamical systems

José A. Langa, James C. Robinson, Alexandre N. Carvalho, 2012 .

Fractal dimension analysis of states of consciousness and unconsciousness using transcranial magnetic stimulation

Marcello Massimini, Steven Laureys, Fernando Soler-Toscano, 2019, Comput. Methods Programs Biomed..

Finite fractal dimension of pullback attractors for non-autonomous 2D Navier–Stokes equations in some unbounded domains

Tomás Caraballo, J. Real, G. Łukaszewicz, 2006 .

Informational Structures and Informational Fields as a Prototype for the Description of Postulates of the Integrated Information Theory

Piotr Kalita, Fernando Soler-Toscano, José A. Langa, 2019, Entropy.

Informational structures: A dynamical system approach for integrated information

Fernando Soler-Toscano, Francisco J Esteban, Javier A Galadí, 2018, PLoS Comput. Biol..

Existence of invariant manifolds for coupled parabolic and hyperbolic stochastic partial differential equations

T. Caraballo, I. Chueshov, J. Langa, 2005 .

Extremal bounded complete trajectories for nonautonomous reaction–diffusion equations with discontinuous forcing term

T. Caraballo, J. Langa, J. Valero, 2020, Revista Matemática Complutense.

Pullback Attractors of Nonautonomous and Stochastic Multivalued Dynamical Systems

T. Caraballo, V. S. Melnik, J. Langa, 2003 .

Dynamical informational structures characterize the different human brain states of wakefulness and deep sleep

G. Deco, E. Tagliazucchi, J. A. Galadí, 2019, bioRxiv.

Equi-attraction and continuity of attractors for skew-product semiflows

T. Caraballo, A. Carvalho, J. Langa, 2016 .

Non-autonomous dynamical systems

James C. Robinson, A. Carvalho, J. Langa, 2015 .

Structure of attractors for skew product semiflows

A. Carvalho, J. Langa, M. Bortolan, 2014 .

Characterization of non-autonomous attractors of a perturbed infinite-dimensional gradient system

José A. Langa, James C. Robinson, Antonio Suárez, 2007 .

Level 1 E

J. Langa, A. Suárez, G. Guerrero, 2022 .

Continuity and Topological Structural Stability for Nonautonomous Random Attractors

Alexandre N. Carvalho, Tom'as Caraballo, Jos'e A. Langa, 2021, Stochastics and Dynamics.

The effect of a small bounded noise on the hyperbolicity for autonomous semilinear differential equations

Tom'as Caraballo, Alexandre N. de Carvalho, Jos'e A. Langa, 2020, Journal of Mathematical Analysis and Applications.

A non-autonomous damped wave equation

James C. Robinson, A. Carvalho, J. Langa, 2013 .

A P ] 2 6 Ju l 2 01 0 Finite-dimensional global attractors in Banach spaces

James C. Robinson, A. Carvalho, J. Langa, 2013 .

Finite-dimensional global attractors in Banach spaces

James C. Robinson, A. Carvalho, J. Langa, 2010, 1007.4567.

Existence of pullback attractors for pullback asymptotically compact processes

Tomás Caraballo, José A. Langa, Felipe Rivero, 2010 .

Lower semicontinuity of attractors for non-autonomous dynamical systems

José A. Langa, James C. Robinson, Alexandre N. Carvalho, 2009, Ergodic Theory and Dynamical Systems.

The Exponential Behaviour and Stabilizability of Stochastic 2D-Navier-Stokes Equations

T. Caraballo, T. Taniguchi, J. Langa, 2002 .

Global attractors for multivalued random dynamical systems generated by random differential inclusions with multiplicative noise

T. Caraballo, J. Langa, J. Valero, 2001 .

Existence and Regularity of the Pressure for the Stochastic Navier–Stokes Equations

José A. Langa, Jacques Simon, J. Simon, 2003 .

Extremal bounded complete trajectories for nonautonomous reaction–diffusion equations with discontinuous forcing term

T. Caraballo, J. Langa, J. Valero, 2019, Revista Matemática Complutense.

On the asymptotic behaviour of solutions of a stochastic energy balance climate model

J. Langa, J. Valero, J. I. Díaz, 2009 .

Semilinear differential equations

James C. Robinson, A. Carvalho, J. Langa, 2013 .

Forwards attraction properties in scalar non-autonomous linear–dissipative parabolic PDEs. The case of null upper Lyapunov exponent

J. Langa, R. Obaya, Ana M. Sanz, 2019, Nonlinearity.

Global and cocycle attractors for non-autonomous reaction-diffusion equations. The case of null upper Lyapunov exponent

T. Caraballo, J. Langa, R. Obaya, 2018, Journal of Differential Equations.

Capturing the non-stationarity of whole-brain dynamics underlying human brain states

J. A. Galadí, M. Kringelbach, G. Deco, 2021, NeuroImage.

Continuity of attractors

James C. Robinson, A. Carvalho, J. Langa, 2013 .

Determining Asymptotic Behavior from the Dynamics on Attracting Sets

James C. Robinson, J. Langa, 1999 .

Micropolar meets Newtonian. The Rayleigh–Bénard problem

P. Kalita, G. Łukaszewicz, J. Langa, 2019, Physica D: Nonlinear Phenomena.

The stability of attractors for non-autonomous perturbations of gradient-like systems

José A. Langa, James C. Robinson, Antonio Suárez, 2007 .

The Navier–Stokes equations with non-autonomous forcing

James C. Robinson, A. Carvalho, J. Langa, 2013 .

Cooperation enhances structural stability in mutualistic systems

J. Langa, J. Portillo, F. Soler-Toscano, 2022, bioRxiv.

Biodiversity and vulnerability in a 3D mutualistic system

J. Langa, A. Suárez, G. Guerrero, 2014 .

On the continuity of pullback attractors for evolution processes

James C. Robinson, A. Carvalho, J. Langa, 2009 .

Architecture of attractor determines dynamics on mutualistic complex networks

J. Langa, A. Suárez, G. Guerrero, 2017 .

Global structural stability and the role of cooperation in mutualistic systems

J. Langa, F. Soler-Toscano, J. R. Portillo, 2022, PloS one.

Attractors for Multi-valued Non-autonomous Dynamical Systems: Relationship, Characterization and Robustness

J. Langa, J. Valero, Yangrong Li, 2018 .

Uniform attractors for non-autonomous random dynamical systems

J. Langa, Hongyong Cui, 2017 .

Attractors for Multi-valued Non-autonomous Dynamical Systems: Relationship, Characterization and Robustness

J. Langa, J. Valero, Yangrong Li, 2016, Set-Valued and Variational Analysis.

MARKOV ATTRACTORS: A PROBABILISTIC APPROACH TO MULTIVALUED FLOWS

F. Flandoli, J. Langa, 2008 .

Global attractors for multivalued random dynamical systems

T. Caraballo, J. Langa, J. Valero, 2002 .

Global attractors for multivalued random semiflows generated by random differential inclusions with additive noise

T. Caraballo, J. Langa, J. Valero, 2001 .

2 Multivalued random dynamical systems and attractors 2 . 1 Multivalued random dynamical systems

T. Caraballo, J. Langa, J. Valero, 2001 .

Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains

T. Caraballo, J. Real, J. Langa, 2011, 1103.3889.

Existence and nonexistence of unbounded forwards attractor for a class of non-autonomous reaction diffusion equations

José A. Langa, James C. Robinson, Aníbal Rodríguez-Bernal, 2007 .

Pullback permanence for non-autonomous partial dierential equations

J. Langa, A. Suárez, 2002 .

On random cocycle attractors with autonomous attraction universes

J. Langa, Hongyong Cui, M. Freitas, 2017 .

Gradient Infinite-Dimensional Random Dynamical Systems

Tomás Caraballo, Zhenxin Liu, José A. Langa, 2012, SIAM J. Appl. Dyn. Syst..

Finite-dimensional negatively invariant subsets of Banach spaces

James C. Robinson, Arthur C. Cunha, A. Carvalho, 2021, Journal of Mathematical Analysis and Applications.

Finite-Dimensionality of Tempered Random Uniform Attractors

José A. Langa, Hongyong Cui, Arthur C. Cunha, 2021, Journal of Nonlinear Science.

New notion of nonuniform exponential dichotomy with applications to the theory of pullback and forward attractors

Rafael Obaya, Alexandre N. Oliveira-Sousa, Jose Antonio Langa, 2021, 2112.05803.

On the long time behaviour of non-autonomous Lotka-Volterra models with diffusion via the sub-super trajectory method

J. Langa, A. Rodríguez-Bernal, A. Suárez, 2009 .

Smoothing and finite-dimensionality of uniform attractors in Banach spaces

José A. Langa, Hongyong Cui, Alexandre N. Carvalho, 2021 .

Measurability of Random Attractors for Quasi Strong-to-Weak Continuous Random Dynamical Systems

J. Langa, Yangrong Li, Hongyong Cui, 2017, Journal of Dynamics and Differential Equations.

A Gradient-like nonautonomous Evolution Process

Tomás Caraballo, José A. Langa, Felipe Rivero, 2010, Int. J. Bifurc. Chaos.

An extension of the concept of gradient semigroups which is stable under perturbation

José A. Langa, Alexandre N. Carvalho, A. Carvalho, 2009 .

Permanence of nonuniform nonautonomous hyperbolicity for infinite-dimensional differential equations

Alexandre N. Carvalho, Tom'as Caraballo, Alexandre N. Oliveira-Sousa, 2020, Asymptotic Analysis.

Finite-dimensional limiting dynamics of random dynamical systems

J. Langa, J. A. Langa, 2003 .

Porous elastic system with nonlinear damping and sources terms

M. L. Santos, J. Langa, M. Freitas, 2018 .

Pullback permanence in a non-autonomous competitive Lotka-Volterra model

James C. Robinson, J. Langa, A. Suárez, 2003 .

Attractors for Differential Equations with Variable Delays

Tomás Caraballo, José A. Langa, James C. Robinson, 2001 .