Long Term Behavior for a Class of Stochastic Delay Lattice Systems in Xρ Space
Discrete Dynamics in Nature and Society, 2020 In this paper, we focus on the asymptotic behavior of solutions to stochastic delay lattice equations with additive noise and deterministic forcing. We first show the existence of a continuous random dynamical system for the equations.
Yijin Zhang, Zongbing Lin
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Theory of weak asymptotic autonomy of pullback stochastic weak attractors and its applications to 2D stochastic Euler equations driven by multiplicative noise [PDF]
, 2023 Kush Kinra, Manil T. Mohan
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Random Attractors of Stochastic Three-Component Reversible Gray-Scott System on Unbounded Domains
Abstract and Applied Analysis, 2012 The existence of a pullback random attractor is established for a stochastic three-component reversible Gray-Scott system on unbounded domains. The Gray-Scott system is recast as a random dynamical system and asymptotic compactness which is illustrated ...
Anhui Gu
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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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Global Mild Solutions and Attractors for Stochastic Viscous Cahn-Hilliard Equation
Abstract and Applied Analysis, 2011 This paper is devoted to the study of mild solutions for the initial and boundary value problem of stochastic viscous Cahn-Hilliard equation driven by white noise. Under reasonable assumptions we first prove the existence and uniqueness result.
Xuewei Ju +3 more
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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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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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Advances in Mathematical Physics, 2019 In this paper, the existence of random attractors for nonautonomous stochastic reversible Selkov system with multiplicative noise has been proved through Ornstein-Uhlenbeck transformation.
Chunxiao Guo, Yanfeng Guo, Xiaohan Li
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Pullback attractor for N-dimensional thermoelastic coupled structure equations
Boundary Value Problems, 2018 In this paper, proving the pullback asymptotic compactness of processes by the aid of a contractive function in space X 0 $X_{0}$ , we prove the existence of a pullback attractor for N-dimensional nonautonomous thermoelastic coupled structure equations u
Danxia Wang, Yinzhu Wang
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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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