Results 21 to 30 of about 5,099,046 (357)
Connectedness of random set attractors [PDF]
Rendiconti Lincei, Matematica e Applicazioni, 2018 We examine the question whether random set attractors for continuous-time random dynamical systems on a connected state space are connected. In the deterministic case, these attractors are known to be connected. In the probabilistic setup, however, connectedness has only been shown under stronger connectedness assumptions on the ...
Scheutzow, Michael, Vorkastner, Isabell
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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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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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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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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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Random potentials and cosmological attractors [PDF]
Journal of Cosmology and Astroparticle Physics, 2017 12 pages, 5 figures, references ...
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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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