Data

NameLanga Rosado, José Antonio
DepartmentEcuaciones Diferenciales y Análisis Numérico
Knowledge areaAnálisis Matemático
Professional categoryCatedrático de Universidad
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  • Items

    74

  • Visits

    8498

  • Downloads

    13564

  Publications

 

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

Caraballo Garrido, Tomás; Carvalho, Alexandre Nolasco; Langa Rosado, José Antonio; Oliveira Sousa, Alexandre N. (ScienceDirect, 2021-01-01)
In this work, we study permanence of hyperbolicity for autonomous differential equations under nonautonomous random/stochastic ...
PhD Thesis
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Dynamical systems applied to consciousness and brain rhythms in a neural network

Langa Rosado, José Antonio; Caraballo Garrido, Tomás; Galadí García, Javier Alejandro (2020-04-21)
This thesis applies the great advances of modern dynamical systems theory (DST) to consciousness. Consciousness, or ...
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Extremal bounded complete trajectories for nonautonomous reaction-diffusion equations with discontinuous forcing term

Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Valero Cuadra, José (Springer, 2020-01-01)
In this paper we establish a strong comparison principle for a nonautonomous differential inclusion with a forcing term ...
Final Degree Project
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Introducción a la Modelización Matemática Ecológica

Langa Rosado, José Antonio; Márquez Rivero, Pablo Manuel (2020-01-01)
This work deals with the study of the global stability of the system Lokta-Volterra. We focus on the analysis of the global ...
Master's Final Project
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Dinámica de redes mutualistas en redes complejas: una aproximación desde las EDOS

Langa Rosado, José Antonio; Suárez Fernández, Antonio; Miranda Calixto, Manuel (2019-06-01)
The aim of this project is to study generalized Lotka-Volterra systems applied in ecology. This work is divided in five ...
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Informational structures and informational fields as a prototype for the description of postulates of the integrated information theory

Kalita, Piotr; Langa Rosado, José Antonio; Soler Toscano, Fernando (MDPI, 2019-05-01)
Informational Structures (IS) and Informational Fields (IF) have been recently introduced to deal with a continuous dynamical ...
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Global and cocycle attractors for non-autonomous reaction-diffusion equations. The case of null upper Lyapunov exponent

Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Obaya García, Rafael; Sanz Gil, Ana María (Elsevier, 2018-11-05)
In this paper we obtain a detailed description of the global and cocycle attractors for the skew-product semiflows induced ...
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Informational structures: A dynamical system approach for integrated information

Esteban Ruiz, Francisco José; Galadí García, Javier Alejandro; Langa Rosado, José Antonio; Portillo Fernández, José Ramón; Soler Toscano, Fernando (Public Library of Science, 2018-09-13)
Integrated Information Theory (IIT) has become nowadays the most sensible general theory of consciousness. In addition to ...
Final Degree Project
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Análisis cualitativo de sistemas de ecuaciones diferenciales: aplicaciones a modelos de Lotka-Volterra n-dimensionales

Langa Rosado, José Antonio; Núñez Santiago, Rocío (2018-06-01)
This work shows The Lotka-Volterra systems like a continuation of the diferential equations studies we have seen in the ...
Final Degree Project
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Sistemas dinámicos. Aplicaciones a las redes complejas

Langa Rosado, José Antonio; Álvarez-Rementería Rodríguez, Alberto (2018-01-01)
This work is framed within the field of Dynamical System and their applicaitons to complex networks. In this text we ...
PhD Thesis
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Dinámica de redes mutualistas en ecosistemas complejos

Suárez Fernández, Antonio; Langa Rosado, José Antonio; Guerrero Suárez, Giovanny Fabián (2017-07-14)
El objetivo principal de este trabajo es el análisis matemático de sistemas de ecuaciones diferenciales que modelan redes ...
PhD Thesis
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On cocycle and uniform attractors for multi-valued and random non-autonomous dynamical systems

Langa Rosado, José Antonio; Cui, Hongyong (2017-07-07)
En esta tesis estudiamos el comportamiento a largo plazo de sistemas dinámicos multivaluados y aleatorios en términos de ...
Final Degree Project
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Ecuaciones diferenciales con retardo: Aplicación a un modelo de quimiostato

Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Ruiz González, Ángeles (2017-06-01)
In this work we will study the theory of dynamical systems with application to a chemostat. Starting with the autonomous ...
Final Degree Project
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Sistemas dinámicos no autónomos

Langa Rosado, José Antonio; Camacho Núñez, María del Carmen (2017-06-01)
This work shows the attractors theory like a continuation of the differential equations studies we have seen in the subjects ...
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Pullback, forward and chaotic dynamics in 1-D non-autonomous linear-dissipative equations

Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Obaya García, Rafael (IOP Publishing, 2017-01-01)
The global attractor of a skew product semiflow for a non-autonomous differential equation describes the asymptotic behaviour ...
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Equi-attraction and continuity of attractors for skew-product semiflows

Caraballo Garrido, Tomás; Carvalho, Alexandre Nolasco; Barbosa da Costa, Henrique; Langa Rosado, José Antonio (American Institute of Mathematical Sciences, 2016-11-01)
In this paper we prove the equivalence between equi-attraction and continuity of attractors for skew-product semi-flows, ...
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Structure of the pullback attractor for a non-autonomous scalar differential inclusion

Caraballo Garrido, Tomás; Langa Rosado, José Antonio (American Institute of Mathematical Sciences, 2016-08-01)
The structure of attractors for differential equations is one of the main topics in the qualitative theory of dynamical ...
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Regularity and structure of pullback attractors for reaction-diffusion type systems without uniqueness

Cui, Hongyong; Langa Rosado, José Antonio; Li, Yangrong (Elsevier, 2016-07-01)
In this paper, we study the pullback attractor for a general reaction-diffusion system for which the uniqueness of solutions ...
Chapter of Book
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Attracting complex networks

Commendatore, Pasquale; Matilla García, Mariano; Varela Cabo, Luis Miguel; Cánovas Peña, José Salvador; Guerrero Suárez, Giovanny Fabián; Langa Rosado, José Antonio; Suárez Fernández, Antonio (Springer, 2016-01-01)
Real phenomena from different areas of Life Sciences can be described by complex networks, whose structure is usually ...
Final Degree Project
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Dinámica global de sistemas mutualistas

Langa Rosado, José Antonio; Suárez Fernández, Antonio; Marín Gayte, Irene (2016-01-01)
This work is framed within the field of Dynamical Systems and we aim to continue the study of the stability of dynamical ...
Final Degree Project
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Ecuación de reacción-difusión. Existencia, unicidad y comportamiento asintótico

Langa Rosado, José Antonio; Suárez Fernández, Antonio; García Cortés, María (2016-01-01)
In this work, the theory of global attractors for parabolics PDEs is studied. We focus on the reaction-diffusion equations ...
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Estabilidad estructural topologica sobre espacios proyectados

Figueroa López, Rodiak Nicolai; Lozada Cruz, Germán; Langa Rosado, José Antonio; Aragão Costa, Eder Ritis (Universidad Nacional de Trujillo, 2016-01-01)
En este trabajo estudiamos la estabilidad estructural topológica para una familia de semigrupos no lineales Th(·) sobre espacios de Banach Xh dependiendo de un parámetro h.
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Morse decomposition of global attractors with infinite components

Caraballo Garrido, Tomás; Jara Pérez, Juan Carlos; Langa Rosado, José Antonio; Valero Cuadra, José (2015-01-01)
In this paper we describe some dynamical properties of a Morse decomposition with a countable number of sets. In particular, ...
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Biodiversity and vulnerability in a 3D mutualistic system

Guerrero Suárez, Giovanny Fabián; Langa Rosado, José Antonio; Suárez Fernández, Antonio (American Institute of Mathematical Sciences, 2014-10-01)
In this paper we study a three dimensional mutualistic model of two plants in competition and a pollinator with cooperative ...
PhD Thesis
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Caracterización de los atractores en sistemas dinámicos no autónomos

Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Jara Pérez, Juan Carlos (2014-03-21)
El estudio de los sistemas dinámicos es de gran importancia, ya que están relacionados con fenómenos del mundo real. Los ...
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Non-autonomous morse-decomposition and Lyapunov functions for gradient-like processes

Aragão Costa, Eder Ritis; Caraballo Garrido, Tomás; Carvalho, Alexandre Nolasco; Langa Rosado, José Antonio (2013-01-01)
We define (time dependent) Morse-decompositions for non-autonomous evolution processes (non-autonomous dynamical systems) ...
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Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains

Brzezniak, Zdzislaw; Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Li, Yuhong; Lukaszewicz, Grzegorz; Real Anguas, José (2013-01-01)
We show that the stochastic flow generated by the 2-dimensional Stochastic Navier-Stokes equations with rough noise on a ...
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Skew Product Semiflows and Morse Decomposition

Bortolan, Matheus Cheque; Caraballo Garrido, Tomás; Carvalho, Alexandre Nolasco; Langa Rosado, José Antonio (2013-01-01)
This paper is devoted to the investigation of the dynamics of non-autonomous differential equations. The description of ...
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An Estimate On the Fractal Dimension of Attractors of Gradient-Like Dynamical Systems

Bortolan, Matheus Cheque; Caraballo Garrido, Tomás; Carvalho, Alexandre Nolasco; Langa Rosado, José Antonio (2012-01-01)
This paper is dedicated to estimate the fractal dimension of exponential global attractors of some generalized gradient-like ...
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Continuity of Lyapunov Functions and of Energy Level for a Generalized Gradient Semigroup

Aragão Costa, Eder Ritis; Caraballo Garrido, Tomás; Carvalho, Alexandre Nolasco; Langa Rosado, José Antonio (2012-01-01)
The global attractor of a gradient-like semigroup has a Morse decomposition. Associated to this Morse decomposition there ...
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Gradient Infinite-Dimensional Random Dynamical Systems

Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Liu, Zenxhin (2012-01-01)
In this paper we introduce the concept of a gradient random dynamical system as a random semiflow possessing a continuous ...
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A Non-Autonomous Strongly Damped Wave Equation: Existence and Continuity of the Pullback Attractor

Caraballo Garrido, Tomás; Carvalho, Alexandre Nolasco; Langa Rosado, José Antonio; Rivero Garvía, Luis Felipe (2011-01-01)
In this paper we consider the strongly damped wave equation with time dependent terms utt − u − γ(t) ut + β"(t)ut = f(u), ...
PhD Thesis
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Atractores pullback existencia y estructura para una ecuación de ondas con amortiguamiento no autónomo

Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Rivero Garvía, Luis Felipe (2011-01-01)
Este trabajo está dividido en dos partes. Una primera en la que se trata la parte teórica de los sistemas dinámicos autónomos ...
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Stability of Gradient Semigroups Under Perturbations

Aragão Costa, Eder Ritis; Caraballo Garrido, Tomás; Carvalho, Alexandre Nolasco; Langa Rosado, José Antonio (2011-01-01)
In this paper we prove that gradient-like semigroups (in the sense of Carvalho and Langa (2009 J. Diff. Eqns 246 2646–68)) ...
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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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On the long time behavior of non-autonomous Lotka–Volterra models with diffusion via the sub-supertrajectory method

Langa Rosado, José Antonio; Rodríguez Bernal, Aníbal; Suárez Fernández, Antonio (Elsevier, 2010-07-15)
In this paper we study in detail the geometrical structure of global pullback and forwards attractors associated to ...
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Existence of Pullback Attractors for Pullback Asymptotically Compact Processes

Caraballo Garrido, Tomás; Carvalho, Alexandre Nolasco; Langa Rosado, José Antonio; Rivero Garvía, Luis Felipe (2010-01-01)
This paper is concerned with the existence of pullback attractors for evolution processes. Our aim is to provide results ...
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The sub-supertrajectory method. Application to the nonautonomous competition Lotka-Volterra model

Langa Rosado, José Antonio; Rodríguez Bernal, Aníbal; Suárez Fernández, Antonio (Sociedad Española de Matemática Aplicada, 2010-01-01)
In this paper we study in detail the pullback and forwards attractions to non-autonomous competition Lotka-Volterra system. ...
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A gradient-like non autonomous evolution process

Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Rivero Garvía, Luis Felipe; Carvalho, Alexandre Nolasco (2009-01-01)
In this paper we consider a dissipative damped wave equation with non-autonomous damping of the form utt + ¯(t)ut = ¢u + ...
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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, 2009-01-01)
Lotka-Volterra systems are the canonical ecological models used to analyze population dynamics of competition, symbiosis ...
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Stabilisation of differential inclusions and PDEs without uniqueness by noise

Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Valero Cuadra, José (2008-01-01)
We prove that the asymptotic behaviour of partial differential inclusions and partial differential equations without ...
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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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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 ...
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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, 2007-01-01)
The goal of this work is to study the forward dynamics of positive solutions for the nonautonomous logistic equation ut − ...
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Flattening, squeezing and the existence of random attractors

Kloeden, Peter E.; Langa Rosado, José Antonio (Royal Society, 2007-01-01)
The study of qualitative properties of random and stochastic differential equations is now one of the most active fields ...
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Bifurcations in non-autonomous scalar equations

Langa Rosado, José Antonio; Robinson, James C.; Suárez Fernández, Antonio (Elsevier, 2006-02-01)
In a previous paper we introduced various definitions of stability and instability for non-autonomous differential equations, ...
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Comparison of the long-time behaviour of linear Ito and Stratonovich partial differential equations

Caraballo Garrido, Tomás; Langa Rosado, José Antonio (2006-01-01)
In this paper, we point out the different long-time behaviour of stochastic partial differential equations when one considers ...
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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. (2006-01-01)
We investigate the effect of perturbing the Chafee-Infante scalar reaction diffusion equation, ut−Δu = βu−u3, by noise. ...
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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, 2005-08-01)
In this paper we extend the well-known bifurcation theory for autonomous logistic equations to the non-autonomous equation ut ...
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Asymptotic Behaviour of Monotone Multi-Valued Dynamical Systems

Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Valero Cuadra, José (2005-01-01)
We introduce the concept of a monotone multi-valued semi- ow as an order-preserving map. This de nition is motivated by ...
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Addendum To "Global Attractors for Multivalued Randomnamical Systems'' [Nonlinear Analysis 48(2002) 805-829]

Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Valero Cuadra, José (2005-01-01)
The aim of this note is to clarify a misleading statement which appeared in our fi rst paper dealing with the concept of global random attractor for multivalued random dynamical systems, as well as in the subsequent work
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Existence of invariant manifolds for coupled parabolic and hyperbolic stochastic partial differential equations

Caraballo Garrido, Tomás; Chueshov, Igor D.; Langa Rosado, José Antonio (2005-01-01)
An abstract system of coupled nonlinear parabolic-hyperbolic partial differential equations subjected to additive white ...
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Semimartingale attractors for Allen-Cahn SPDEs driven by space-time white noise I: existence and finite dimensional asymptotic behavior

Allouba, Hassan; Langa Rosado, José Antonio (World Scientific, 2004-01-01)
We delve deeper into the study of semimartingale attractors that we recently introduced in Allouba and Langa [4] H. Allouba ...
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Existence and regularity of the pressure for the stochastic Navier-Stokes equations

Langa Rosado, José Antonio; Real Anguas, José; Simon, Jacques (Springer, 2003-10-01)
We prove, on one hand, that for a convenient body force with values in the distribution space (H−1(D))d, where D is the ...
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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, 2003-07-01)
Lotka-Volterra systems have been extensively studied by many authors, both in the autonomous and non-autonomous cases. In ...
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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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Pullback attractors of nonautonomous and stochastic multivalued dynamical systems

Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Melnik, Valery S.; Valero Cuadra, José (2003-01-01)
In this paper we study the existence of pullback global attractors for multivalued processes generated by differential ...
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On the relationship between solutions of stochastic and random differential inclusions

Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Valero Cuadra, José (2003-01-01)
Some results on the relationship of the solutions of a stochastic di erential inclusion and the corresponding random di ...
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The dimension of attractors of nonautonomous partial differential equations

Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Valero Cuadra, José (2003-01-01)
The concept of nonautonomous (or cocycle) attractor has become a proper tool for the study of the asymptotic behaviour of ...
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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, 2002-05-01)
There is a vast body of literature devoted to the study of bifurcation phenomena in autonomous systems of differential ...
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Pullback permanence for non-autonomous partial differential equations

Langa Rosado, José Antonio; Suárez Fernández, Antonio (2002-01-01)
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Global Attractors for Multivalued Random Dynamical Systems

Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Valero Cuadra, José (2002-01-01)
We introduce the concept of multivalued random dynamical system (MRDS) as a measurable multivalued flow satisfying the ...
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The Exponential Behaviour and Stabilizability of Stochastic 2D-Navier-Stokes Equations

Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Taniguchi, Takeshi (2002-01-01)
Some results on the pathwise exponential stability of the weak solutions to a stochastic 2D-Navier-Stokes equation are ...
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Sistemas dinámicos estocásticos no autónomos y sistemas multivaluados

Langa Rosado, José Antonio (Sociedad Española de Matemática Aplicada, 2002-01-01)
Uno de los conceptos más importantes para la descripción del comportamiento asintótico de ecuaciones en derivadas parciales ...
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Attractors for differential equations with variable delays

Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Robinson, James C. (2001-01-01)
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.
Presentation
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Approximation of attractors for multivalued random dynamical systems

Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Valero Cuadra, José (Masaryk University, 2001-01-01)
The concept of global attractor for stochastic partial differential inclusions has been recently introduced as a joint ...
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A Stochastic Pitchfork Bifurcation in a Reaction-Diffusion Equation

Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Robinson, James C. (2001-01-01)
We study in some detail the structure of the random attractor for the Chafee{Infante reaction{di¬usion equation perturbed ...
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Global attractors for multivalued random dynamical systems generated by random differential inclusions with multiplicative noise

Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Cuadra Valero, José (2001-01-01)
In this paper we consider a stochastic differential inclusion with multiplicative noise. It is shown that it generates a multivalued random dynamical system for which there also exists a global random attractor.
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Global attractors for multivalued random semiflows generated by random differential inclusions with additive noise

Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Valero Cuadra, José (2001-01-01)
We introduce the concept of multivalued random dynamical system (MRDS) as a measurable multivalued flow satisfying the ...
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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. (2000-01-01)
We study the asymptotic behaviour of a reaction-diffusion equation, and prove that the addition of multiplicative white ...
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Determining asymptotic behavior from the dynamics on attracting sets

Langa Rosado, José Antonio; Robinson, James C. (Springer, 1999-04-01)
Two tracking properties for trajectories on attracting sets are studied. We prove that trajectories on the full phase space ...
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Tracking Properties of Trajectories On Random Attracting Sets

Caraballo Garrido, Tomás; Langa Rosado, José Antonio (1999-01-01)
The theory of random attracting sets highlights interesting properties of the asymptotic behaviour of some stochastic ...
PhD Thesis
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Atractores y comportamiento finito-dimensional en sistemas dinámicos aleatorios

Caraballo Garrido, Tomás; Langa Rosado, José Antonio (1998-01-01)
"En el Capítulo 1, presentamos una síntesis de los resultados básicos sobre atractores globales que pueden encontrarse en ...
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Upper Semicontinuity of Attractors for Small Random Perturbations of Dynamical Systems

Caraballo Garrido, Tomás; Langa Rosado, José Antonio; Robinson, James C. (1998-01-01)
The relationship between random attractors and global attractors for dynamical systems is studied. If a partial differential ...