, 2017 In this paper we study the asymptotic dynamics of the weak solutions of nonautonomous stochastic reaction-diffusion equations driven by a time-dependent forcing term and the multiplicative noise.
Linfang Liu, Xianlong Fu, Y. You
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Random attractors for stochastic lattice reversible Gray-Scott systems with additive noise
Electronic Journal of Differential Equations, 2015 In this article, we prove the existence of a random attractor of the stochastic three-component reversible Gray-Scott system on infinite lattice with additive noise.
Hongyan Li, Junyi Tu
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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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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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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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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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Analytical study of the Lorenz system: Existence of infinitely many periodic orbits and their topological characterization. [PDF]
Proc Natl Acad Sci U S A, 2023 Pinsky T.
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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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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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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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