Random attractors for stochastic evolution equations driven by fractional Brownian motion [PDF]
, 2013 The main goal of this article is to prove the existence of a random attractor for a stochastic evolution equation driven by a fractional Brownian motion with $H\in (1/2,1)$.
Gao, H. +2 more
core +4 more sources
Random sampling vs. exact enumeration of attractors in random Boolean networks [PDF]
, 2009 We clarify the effect different sampling methods and weighting schemes have on the statistics of attractors in ensembles of random Boolean networks (RBNs).
Aldana M +9 more
core +2 more sources
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 state ...
Michael Scheutzow, Isabell Vorkastner
openalex +5 more sources
Random Attractors of Stochastic Lattice Dynamical Systems Driven by Fractional Brownian Motions and its Erratum [PDF]
, 2014 This paper is devoted to considering the stochastic lattice dynamical systems (SLDS) driven by fractional Brownian motions with Hurst parameter bigger than $1/2$. Under usual dissipativity conditions these SLDS are shown to generate a random dynamical system for which the existence and unique of a random attractor is established.
Anhui Gu
arxiv +3 more sources
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
doaj +2 more sources
Random Attractor for Stochastic Wave Equation with Arbitrary Exponent and Additive Noise on $\mathbb{R}^n$ [PDF]
, 2014 Asymptotic random dynamics of weak solutions for a damped stochastic wave equation with the nonlinearity of arbitrarily large exponent and the additive noise on $\mathbb{R}^n$ is investigated.
Li, Hongyan, You, Yuncheng
core +3 more sources
Random attractors on countable state spaces [PDF]
arXivWe study the synchronization behavior of discrete-time Markov chains on countable state spaces. Representing a Markov chain in terms of a random dynamical system, which describes the collective dynamics of trajectories driven by the same noise, allows for the characterization of synchronization via random attractors.
Chemnitz, Robin +2 more
arxiv +3 more sources
Random attractor associated with the quasi-geostrophic equation [PDF]
arXiv, 2013 We study the long time behavior of the solutions to the 2D stochastic quasi-geostrophic equation on $\mathbb{T}^2$ driven by additive noise and real linear multiplicative noise in the subcritical case (i.e. $\alpha>1/2$) by proving the existence of a random attractor.
Rongchan Zhu, Xiangchan Zhu
arxiv +2 more sources
RANDOM ATTRACTOR FOR NON-AUTONOMOUS STOCHASTIC STRONGLY DAMPED WAVE EQUATION ON UNBOUNDED DOMAINS
, 2015 In this paper we study the asymptotic dynamics for the nonautonomous stochastic strongly damped wave equation driven by additive noise defined on unbounded domains.
Zhaojuan Wang, Shengfan Zhou
openalex +2 more sources
Upper semicontinuity of random attractors for non-compact random dynamical systems [PDF]
Electronic Journal of Differential Equations, 2009 The upper semicontinuity of random attractors for non-compact random dynamical systems is proved when the union of all perturbed random attractors is precompact with probability one.
Bixiang Wang
doaj +1 more source