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20102024
most citedSemimartingale attractors for Allen-Cahn SPDEs driven by space-time white noise I: Existence and finite dimensional asymptotic behavior

6 citations · 16 across the 12 of their papers we have counts for

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7 papers · 1 filter

math.DS2024

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…

math.DS2024

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…

math.DS2023

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…

math.DS2022★ 1 cited

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…

math.DS2021

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…

math.DS2021

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…

math.DS2019★ 4 cited

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…