6 citations · 16 across the 12 of their papers we have counts for
12 papers
Monotone Multivalued Nonautonomous Dynamical Systems
José A. Langa, Jacson Simsen, Mariza Stefanello Simsen +1
This paper is devoted to the study of nonautonomous multivalued semiflows and their associated pullback attractors. For this kind of dynamical systems we are able to characterize t…
Finite Fractal Dimension of uniform attractors for non-autonomous dynamical systems with infinite dimensional symbol space
Rafael de Oliveira Moura, Alexandre Nolasco de Carvalho, José A. Langa
The aim of this paper is to find an upper bound for the box-counting dimension of uniform attractors for non-autonomous dynamical systems. Contrary to the results in literature, we…
Forwards attractors for non-autonomous Lotka-Volterra cooperative systems: a detailed geometrical description
Juan Garcia-Fuentes, José A. Langa, Piotr Kalita +1
Non-autonomous differential equations exhibit a highly intricate dynamics, and various concepts have been introduced to describe their qualitative behavior. In general, it is rare…
Structural stability of invasion graphs for Lotka--Volterra systems
Pablo Almaraz, Piotr Kalita, José A. Langa +1
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 consider the invasion…
New notion of nonuniform exponential dichotomy with applications to the theory of pullback and forward attractors
Jose Antonio Langa, Rafael Obaya, Alexandre N. Oliveira-Sousa
In this work we study nonuniform exponential dichotomies and existence of pullback and forward attractors for evolution processes associated to nonautonomous differential equations…
Continuity and topological structural stability for nonautonomous random attractors
Tomás Caraballo, Alexandre N. Carvalho, José A. Langa +1
In this work, we study continuity and topological structural stability of attractors for nonautonomous random differential equations obtained by small bounded random perturbations…
The effect of a small bounded noise on the hyperbolicity for autonomous semilinear differential equations
Tomás Caraballo, Alexandre N. de Carvalho, José A. Langa +1
In this work we study permanence of hyperbolicity for autonomous differential equations under nonautonomous random/stochastic perturbations. For the linear case, we study robustnes…
Permanence of nonuniform nonautonomous hyperbolicity for infinite-dimensional differential equations
Tomás Caraballo, Alexandre N. Carvalho, José Antonio Langa +1
In this paper, we study stability properties of nonuniform hyperbolicity for evolution processes associated with differential equations in Banach spaces. We prove a robustness resu…
Forwards attraction properties in scalar non-autonomous linear dissipative parabolic PDEs. The case of null upper lyapunov exponent
José antonio langa, Rafael Obaya, Ana María Sanz
As it is well-known, the forwards and pullback dynamics are in general unrelated. In this paper we present an in-depth study of whether the pullback attractor is also a forwards at…
Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains
Z. Brzeźniak, T. Caraballo, J. A. Langa +3
We show that the stochastic flow generated by the Stochastic Navier-Stokes equations in a 2-dimensional Poincaré domain has a unique random attractor. This result complements a rec…
Finite-dimensional global attractors in Banach spaces
Alexandre N Carvalho, José A Langa, James C Robinson
We provide bounds on the upper box-counting dimension of negatively invariant subsets of Banach spaces, a problem that is easily reduced to covering the image of the unit ball unde…
Semimartingale attractors for Allen-Cahn SPDEs driven by space-time white noise I: Existence and finite dimensional asymptotic behavior
Hassan Allouba, Jose A. Langa
We delve deeper into the study of semimartingale attractors that we recently introduced in Allouba and Langa \cite{AL0}. In this article we focus on second order SPDEs of the Allen…