Random Attractors for Stochastic Retarded Reaction-Diffusion Equations on Unbounded Domains
Abstract and Applied Analysis, 2013 This paper is devoted to a stochastic retarded reaction-diffusion equation on all d-dimensional space with additive white noise. We first show that the stochastic retarded reaction-diffusion equation generates a random dynamical system by transforming ...
Xiaoquan Ding, Jifa Jiang
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Fractal Dimension for the Nonautonomous Stochastic Fifth-Order Swift–Hohenberg Equation
Complexity, 2020 Some dynamics behaviors for the nonautonomous stochastic fifth-order Swift–Hohenberg equation with additive white noise are considered. The existence of pullback random attractors for the nonautonomous stochastic fifth-order Swift–Hohenberg equation with
Yanfeng Guo, Chunxiao Guo, Yongping Xi
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Pullback Attractors for Nonautonomous 2D-Navier-Stokes Models with Variable Delays
Abstract and Applied Analysis, 2013 Using a method based on the concept of the Kuratowski measure of the noncompactness of a bounded set as well as some new estimates of the equicontinuity of the solutions, we prove the existence of a unique pullback attractor in higher regularity space ...
Xiaoli Liu, Yejuan Wang
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Pullback attractors for generalized Korteweg–de Vries–Burgers equations
Journal of Mathematical Analysis and Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anh, Cung The, Bao, Tang Quoc
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Focus point on uncertainty quantification of modeling and simulation in physics and related areas: from theoretical to computational techniques. [PDF]
Eur Phys J Plus, 2023 Cortés JC, Caraballo T, Pinto CMA.
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Pullback Attractors of Nonautonomous and Stochastic Multivalued Dynamical Systems
Set-Valued Analysis, 2003 In this paper we study the existence of pullback global attractors for multivalued processes generated by differential inclusions. First, we define multivalued dynamical processes, prove abstract results on the existence of !-limit sets and global attractors and study their topological properties (compactness, conectedness).
Caraballo Garrido, Tomás +3 more
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Synchronization of nonautonomous dynamical systems
Electronic Journal of Differential Equations, 2003 The synchronization of two nonautonomous dynamical systems is considered, where the systems are described in terms of a skew-product formalism, i.
Peter E. Kloeden
doaj
Global analysis and prediction scenario of infectious outbreaks by recurrent dynamic model and machine learning models: A case study on COVID-19. [PDF]
Comput Biol Med, 2023 Rakhshan SA, Nejad MS, Zaj M, Ghane FH.
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Uniform boundedness of the attractor in H2 of a non-autonomous epidemiological system [PDF]
, 2018 In this paper, we prove the uniform boundedness of the pullback attractor of a non-autonomous SIR (susceptible, infected, recovered) model from epidemiology considered in Anguiano and Kloeden [M. Anguiano, P.E.
Anguiano Moreno, María
core
Forward and Pullback Dynamics of Nonautonomous Integrodifference Equations: Basic Constructions. [PDF]
J Dyn Differ Equ, 2022 Huynh H, Kloeden PE, Pötzsche C.
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