Results 51 to 60 of about 5,047,376 (392)
Random Attractors for the Stochastic Discrete Long Wave-Short Wave Resonance Equations
Journal of Applied Mathematics, 2011 We prove the existence of the random attractor for the stochastic discrete long wave-short wave resonance equations in an infinite lattice. We prove the asymptotic compactness of the random dynamical system and obtain the random attractor.
Jie Xin, Hong Lu
doaj +1 more source
Fractal and Fractional, 2022 In this paper, we consider the backward asymptotically autonomous dynamical behavior for fractional non-autonomous nonclassical diffusion equations driven by a Wong–Zakai approximations process in Hs(Rn) with s∈(0,1).
Hong Li, Fuzhi Li
doaj +1 more source
Correction to: Criteria for Strong and Weak Random Attractors [PDF]
arXiv, 2023 In the article 'Criteria for Strong and Weak Random Attractors' necessary and sufficient conditions for strong attractors and weak attractors are studied. In this note we correct two of its theorems on strong attractors.
arxiv
, 2018 In this paper, we first establish some sufficient conditions for the existence and construction of a random exponential attractor for a continuous cocycle on a separable Banach space.
Zhaojuan Wang, Shengfan Zhou
semanticscholar +1 more source
Random Boolean Networks and Attractors of their Intersecting Circuits [PDF]
2011 IEEE Workshops of International Conference on Advanced Information Networking and Applications, 2011 The multi-scale strategy in studying biological regulatory networks analysis is based on two level of analysis. The first level is structural and consists in examining the architecture of the interaction graph underlying the network and the second level is functional and analyse the regulatory properties of the network.
Demongeot, Jacques +3 more
openaire +4 more sources
Gradient Infinite-Dimensional Random Dynamical Systems [PDF]
, 2012 In this paper we introduce the concept of a gradient random dynamical system as a random semiflow possessing a continuous random Lyapunov function which describes the asymptotic regime of the system.
Caraballo Garrido, Tomás +2 more
core +1 more source
Additive noise destroys the random attractor close to bifurcation [PDF]
, 2016 We provide an example for stabilization by noise. Due to the presence of higher order differential operators our approach does not rely on monotonicity arguments, i.e. the preserved order of solutions.
L. Bianchi, D. Blömker, Meihua Yang
semanticscholar +1 more source
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
doaj +1 more source
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
doaj +1 more source
Random attractors for locally monotone stochastic partial differential equations with linear multiplicative fractional noise [PDF]
arXiv, 2023 In this paper, we consider the random attractors for a class of locally monotone stochastic partial differential equations perturbed by the linear multiplicative fractional Brownian motion with Hurst index $H\in(\frac{1}{2},1)$. We obtain the random attractors or $\mathcal{D}$-pullback random attractors for these systems and some examples are given in ...
arxiv