Results 41 to 50 of about 5,099,046 (357)
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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Strange Nonchaotic Attractors in Random Dynamical Systems [PDF]
Physical Review Letters, 2004 Whether strange nonchaotic attractors (SNAs) can occur typically in dynamical systems other than quasiperiodically driven systems has long been an open question. Here we show, based on a physical analysis and numerical evidence, that robust SNAs can be induced by small noise in autonomous discrete-time maps and in periodically driven continuous-time ...
Wang, X. +3 more
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Random Attractor of Reaction-Diffusion Hopfield Neural Networks Driven by Wiener Processes
, 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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Dynamical behaviors of stochastic local Swift-Hohenberg equation on unbounded domain
Journal of Inequalities and Applications, 2016 In this paper, we first study the deterministic Swift-Hohenberg equation on a bounded domain. After obtaining some a priori estimates by the uniform Gronwall inequality, we prove the existence of an attractor by the Sobolev compact embeddings.
CX Guo, YY Chen, YF Guo
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, 2017 In this paper, we consider the stochastic higher-order Kirchhoff-type equation with nonlinear strongly dissipation and white noise. We first deal with random term by using Ornstein-Uhlenbeck process and establish the wellness of the solution, then the ...
Guoguang Lin, Ling Chen, Wei Wang
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Regular Attractor by Strict Lyapunov Function for Random Dynamical Systems
Wasit Journal for Pure SciencesThe main objective of this paper is to study some types of random attractors in random dynamical systems based on the random strict Lyapunov function.
Hind Adnan Hashim
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Bulletin of Mathematical Sciences, 2021 This paper deals with the asymptotic behavior of solutions to non-autonomous, fractional, stochastic p-Laplacian equations driven by additive white noise and random terms defined on the unbounded domain ℝN.
Renhai Wang, Bixiang Wang
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Random attractor for stochastic non-autonomous damped wave equation with critical exponent
, 2016 In this paper, we prove the existence of random attractor and obtainan upper bound of fractal dimension of random attractor forstochastic non-autonomous damped wave equation with criticalexponent and additive white noise.
Zhaojuan Wang, Shengfan Zhou
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Asymptotic behavior of plate equations with memory driven by colored noise on unbounded domains
AIMS Mathematics, 2022 The paper investigates mainly the asymptotic behavior of the non-autonomous random dynamical systems generated by the plate equations with memory driven by colored noise defined on $ \mathbb{R}^n $. Firstly, we prove the well-posedness of the equation in
Xiao Bin Yao, Chan Yue
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Analysis of attractor distances in Random Boolean Networks [PDF]
, 2010 We study the properties of the distance between attractors in Random Boolean Networks, a prominent model of genetic regulatory networks. We define three distance measures, upon which attractor distance matrices are constructed and their main statistic parameters are computed.
Andrea Roli +3 more
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