Results 11 to 20 of about 7,477,558 (327)
Open Mathematics, 2019 We first introduce the concept of the random uniform exponential attractor for a jointly continuous non-autonomous random dynamical system (NRDS) and give a theorem on the existence of the random uniform exponential attractor for a jointly continuous ...
Han Zongfei, Zhou Shengfan
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Uniformly Random Attractor for the Three-Dimensional Stochastic Nonautonomous Camassa-Holm Equations [PDF]
Abstract and Applied Analysis, 2013 We consider the uniformly random attractor for the three-dimensional stochastic nonautonomous Camassa-Holm equations in the periodic box in this paper.
Zhehao Huang, Zhengrong Liu
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Random attractor for the Ladyzhenskaya model with additive noise [PDF]
Journal of Mathematical Analysis and Applications, 2010 This paper studies the dynamical behavior of the Ladyzhenskaya model with additive noise. With some conditions, we prove that the generated random dynamical system has a compact random attractor, which is a random compact set absorbing any bounded ...
Caidi Zhao, Jinqiao Duan
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Random attractor for stochastic Hindmarsh-Rose equations with multiplicative noise [PDF]
Discrete & Continuous Dynamical Systems - B, 2019 The longtime and global pullback dynamics of stochastic Hindmarsh-Rose equations with multiplicative noise on a three-dimensional bounded domain in neurodynamics is investigated in this work.
Chi Phan
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Probabilistic continuity of a pullback random attractor in time-sample
Discrete and Continuous Dynamical Systems - Series B, 2020 Given a time-sample dependent attractor of a random dynamical system, we study its lower semi-continuity in probability along the time axis, and the criteria are established by using the local-sample asymptotically compactness for a triple-continuous ...
Li Yangrong
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Hausdorff Dimension of a Random Attractor for Stochastic Boussinesq Equations with Double Multiplicative White Noises [PDF]
Journal of Function Spaces, 2016 This paper investigates the existence of random attractor for stochastic Boussinesq equations driven by multiplicative white noises in both the velocity and temperature equations and estimates the Hausdorff dimension of the random attractor.
Yin Li, Ruiying Wei, Donghong Cai
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Discrete and Continuous Dynamical Systems, 2018 In this paper, we first establish some sufficient conditions for the existence and construction of a random exponential attractor for a continuous cocycle on a separable Banach space.
Zhaojuan Wang
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Advances in Difference Equations, 2019 This paper is concerned with the random exponential attractor for second order non-autonomous stochastic lattice system with multiplicative white noise and unbounded nonlinearity.
Haijuan Su, Shengfan Zhou, Luyao Wu
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A random attractor for a stochastic second order lattice system with random coupled coefficients [PDF]
Journal of Mathematical Analysis and Applications, 2012 In this paper, we mainly focus on the asymptotic behavior of solutions to the second-order stochastic lattice equations with random coupled coefficients and multiplicative white noises in weighted spaces of infinite sequences.
Shengfan Zhou
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Random Attractor of Reaction-Diffusion Hopfield Neural Networks Driven by Wiener Processes [PDF]
, 2018 This paper studies the global existence and uniqueness of the mild solution for reaction-diffusion Hopfield neural networks (RDHNNs) driven by Wiener processes by applying a Schauder fixed point theorem and a priori estimate; then the random attractor ...
Xiao Liang, Linshan Wang, Ruili Wang
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