Results 11 to 20 of about 4,980,388 (235)
, 2020 In this paper, we study the backward compactness of random attractors, which describes the compactness of the union \begin{document}$ \cup_{s\leq\tau}\mathcal A(s,\omega) $\end{document} of random attractor sections over past times, \begin{document ...
Fuzhi Li, Dongmei Xu, Jiali Yu
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Asymptotic behaviour of random Markov chains with tridiagonal generators [PDF]
, 2012 Continuous-time discrete-state random Markov chains generated by a random linear differential equation with a random tridiagonal matrix are shown to have a random attractor consisting of singleton subsets, essentially a random path, in the simplex of ...
Allen +9 more
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Dynamics of the stochastic wave equations with degenerate memory effects on bounded domain [PDF]
Surveys in Mathematics and its Applications, 2022 In this work, we consider the behavior of long-time dynamics of a random dynamical system generated wave equations with degenerate memory and additive noise, on bounded domain U, with Dirichlet boundary condition, and nonlinear term f(u) with critical ...
Abdelmajid A. D. +3 more
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AIMS Mathematics, 2021 We study the dynamical behavior of the solutions of stochastic discrete long wave-short wave resonance equations driven by fractional Brownian motions with Hurst parameter $ H\in(\frac{1}{2}, 1) $. And then we prove that the random dynamical system has a
Ranran Liu, Hui Liu, Jie Xin
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Uniformly Random Attractor for the Three-Dimensional Stochastic Nonautonomous Camassa-Holm Equations
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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Entropy, 2020 In this paper, a new 4D hyperchaotic system is generated. The dynamic properties of attractor phase space, local stability, poincare section, periodic attractor, quasi-periodic attractor, chaotic attractor, bifurcation diagram, and Lyapunov index are ...
Lina Ding, Qun Ding
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Random Attractors for Stochastic Retarded 2D-Navier-Stokes Equations with Additive Noise
Journal of Function Spaces, 2018 In this paper, the existence and the upper semicontinuity of a pullback attractor for stochastic retarded 2D-Navier-Stokes equation on a bounded domain are obtained.
Xiaoyao Jia, Xiaoquan Ding
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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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The mean-square dichotomy spectrum and a bifurcation to a mean-square attractor [PDF]
, 2014 The dichotomy spectrum is introduced for linear mean-square random dynamical systems, and it is shown that for finite-dimensional mean-field stochastic differential equations, the dichotomy spectrum consists of finitely many compact intervals. It is then
Doan, Thai Son +2 more
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Abstract and Applied Analysis, 2013 This work is concerned with the random dynamics of two-dimensional stochastic Boussinesq system with dynamical boundary condition. The white noises affect the system through a dynamical boundary condition.
Yijin Zhang
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