Ecuaciones Diferenciales y Análisis Numérico
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Article
Discurso de contestación al del profesor Durán Guardeño, por el Ilmo. Sr. D. Enrique Fernández Cara, el día 1 de junio de 2022
(Real Academia Sevillana de Ciencias, 2022) -
Article
Forwards Attractor Structures in a Planar Cooperative Non-autonomous Lotka–Volterra System
(Springer, 2024-04-12)The global attractor of a dissipative dynamical system provides the necessary information to understand the asymptotic ...
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Dataset
Data-driven stabilized coefficients
(2024-06-07) -
PhD Thesis
Dynamics of deterministic and stochastic systems containing colored noise and delay or memory
(2024-04-12)This thesis is concerned with the dynamics of deterministic systems with memory, as well as stochastic systems with ...
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Article
Generalized eigenvalue problem for an interface elliptic equation
(Elsevier, 2024-05-05)In this paper we deal with an eigenvalue problem in an interface elliptic equation. We characterize the set of principal ...
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PhD Thesis
Some applications of reduced order modelling to slow-fast dynamical systems, turbulence models and elliptic PDEs
(2024-03-08)En las últimas décadas, el progreso tecnológico ha elevado el rol de las simulaciones numéricas a ser una herramienta ...
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PhD Thesis
Characterization of attractors for non-autonomous dynamical systems: Applications to non-dissipative case and ecological models
(2024-02-23)Esta tesis está dedicada a la exploración de atractores para sistema dinámicos. Nuestro análisis sigue dos enfoques ...
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Article
Dynamics and stability analysis for stochastic 3D Lagrangian-averaged Navier-Stokes equations with infinite delay on unbounded domains
(Springer, 2023-11-02)This paper is devoted to investigating mean dynamics and stability analysis for stochastic 3D Lagrangian-averaged Navier–Stokes ...
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Article
Discontinuous stochastic modelling and discrete numerical approximation for Tuberculosis model with relapse
(Elsevier, 2023-10-22)The objective of this paper is to study a stochastic epidemiological model with infinite Lévy measure and relapse. Using ...
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Article
On the stochastic threshold of the COVID-19 epidemic model incorporating jump perturbations
(Elsevier, 2023-10-05)This work delves into the intricate realm of epidemic modeling under the influence of unpredictable surroundings. By ...
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Article
The existence and asymptotic behavior of solutions to 3D viscous primitive equations with Caputo fractional time derivatives
(American Institute of Physics, 2023-09-06)On the one hand, the primitive three-dimensional viscous equations for large-scale ocean and atmosphere dynamics are ...
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Article
Pullback exponential attractors with explicit fractal dimensions for non-autonomous partial functional differential equations
(Springer, 2023-09-18)The aim of this paper is to propose a new method to construct pullback exponential attractors with explicit fractal ...
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Article
Convergence and Approximation of Invariant Measures for 2 Neural Field Lattice Models under Noise Perturbation
(Society for Industrial and Applied Mathematics, 2023-05-09)This paper is mainly concerned with limiting behaviors of invariant measures for neural field latticemodels in a random ...
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Article
Stability of regular attractors for non-autonomous random dynamical systems and applications to stochastic Newton-Boussinesq equations with delays
(Elsevier, 2023-10-03)In this paper, we establish theoretical results on the stability of random regular attractors. First, we introduce a ...
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Article
Hausdorff and fractal dimensions of attractors for functional differential equations in Banach spaces
(Elsevier, 2023-07-07)The main objective of this paper is to obtain estimations of Hausdorff dimension as well as fractal dimension of global ...
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Article
Effects of real random perturbations on Monod and Haldane consumption functions in the chemostat model
(Elsevier, 2023-06-05)In this paper, we investigate the classical chemostat model where the consumption function of the species, in both cases ...
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Article
On the limit of solutions for a reaction-diffusion equation containing fractional Laplacians
(Springer, 2023-11-21)A kind of nonlocal reaction-diffusion equations on an unbounded domain containing a fractional Laplacian operator is ...
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Article
Mean attractors and invarant measures of locally monotone and generally coercive spdes driven by superlinear noise
(Elsevier, 2023-04-09)We study the global solvability, mean attractors and invariant measures for an abstract locally monotone and generally ...
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Article
The asymptotic behaviour of solutions for stochastic evolution equations with pantograph delay
(World scientific, 2023-03-14)The polynomial stability problem of stochastic delay differential equations has been studied in recent years. In contrast, ...
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Article
Stability analysis of stochastic 3D Lagrangian-averaged Navier-Stokes equations with infinite delay
(Springer, 2021-07-23)The asymptotic behaviour of stochastic three-dimensional Lagrangian-averaged Navier-Stokes equations with infinite delay ...