Results 31 to 40 of about 46,943 (335)
Convergence to local random attractors [PDF]
Dynamical Systems, 2003 Random attractors allow one to classify qualitative and quantitative aspects of the long-time behaviourof stochastically forced systems viewed as random dynamical systems (RDS) in an analogous way to attractors for deterministic systems. We compare several notions of random attractor in RDS by examining convergence of trajectories to a random invariant
Ashwin, Peter, Ochs, Gunter
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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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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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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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Avalanches, branching ratios, and clustering of attractors in Random Boolean Networks and in the segment polarity network of \emph{Drosophila} [PDF]
, 2008 We discuss basic features of emergent complexity in dynamical systems far from equilibrium by focusing on the network structure of their state space.
Berdahl, Andrew +4 more
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Random Delta-Hausdorff-attractors
Discrete & Continuous Dynamical Systems - B, 2018 Global random attractors and random point attractors for random dynamical systems have been studied for several decades. Here we introduce two intermediate concepts: $ $-attractors are characterized by attracting all deterministic compact sets of Hausdorff dimension at most $ $, where $ $ is a non-negative number, while cc-attractors attract all ...
Scheutzow, Michael +1 more
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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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Exponential attractors for random dynamical systems and applications [PDF]
, 2012 The paper is devoted to constructing a random exponential attractor for some classes of stochastic PDE's. We first prove the existence of an exponential attractor for abstract random dynamical systems and study its dependence on a parameter and then ...
Shirikyan, Armen, Zelik, Sergey
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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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Random attractors for stochastic two-compartment Gray-Scott equations with a multiplicative noise
Open Mathematics, 2016 In this paper, we consider the existence of a pullback attractor for the random dynamical system generated by stochastic two-compartment Gray-Scott equation for a multiplicative noise with the homogeneous Neumann boundary condition on a bounded domain of
Jia Xiaoyao, Gao Juanjuan, Ding Xiaoquan
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