Results 51 to 60 of about 7,477,558 (327)
Synchronization of dissipative dynamical systems driven by non-Gaussian Lévy noises [PDF]
, 2010 Dynamical systems driven by Gaussian noises have been considered extensively in modeling, simulation, and theory. However, complex systems in engineering and science are often subject to non-Gaussian fluctuations or uncertainties.
Kloeden, Peter E. +3 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, Dirk Blömker, Meihua Yang
semanticscholar +1 more source
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
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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Random attractors for stochastic partly dissipative systems [PDF]
Nonlinear Differential Equations and Applications NoDEA, 2020 AbstractWe prove the existence of a global random attractor for a certain class of stochastic partly dissipative systems. These systems consist of a partial and an ordinary differential equation, where both equations are coupled and perturbed by additive white noise.
Christian Kuehn +2 more
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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
openaire +2 more sources
Open Mathematics, 2021 The incompressible 2D stochastic Navier-Stokes equations with linear damping are considered in this paper. Based on some new calculation estimates, we obtain the existence of random attractor and the upper semicontinuity of the random attractors as ε→0 ...
Li Haiyan, Wang Bo
doaj +1 more source
Invariant measures and random attractors of stochastic delay differential equations in Hilbert space
Electronic Journal of Qualitative Theory of Differential Equations, 2022 This paper is devoted to a general stochastic delay differential equation with infinite-dimensional diffusions in a Hilbert space. We not only investigate the existence of invariant measures with either Wiener process or Lévy jump process, but also ...
Shangzhi Li, Shangjiang Guo
doaj +1 more source
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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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
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