Asymptotic Behavior for Generalized Ginzburg-Landau Population Equation with Stochastic Perturbation
Year: 2016
Author: Jiahe Xu, Kang Zhou, Qiuying Lu
Annals of Applied Mathematics, Vol. 32 (2016), Iss. 2 : pp. 174–182
Abstract
In this paper, we are devoted to the asymptotic behavior for a nonlinear parabolic type equation of higher order with additive white noise. We focus on the Ginzburg-Landau population equation perturbed with additive noise. Firstly, we show that the stochastic Ginzburg-Landau equation with additive noise can be recast as a random dynamical system. And then, it is proved that under some growth conditions on the nonlinear term, this stochastic equation has a compact random attractor, which has a finite Hausdorff dimension.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2016-AAM-20636
Annals of Applied Mathematics, Vol. 32 (2016), Iss. 2 : pp. 174–182
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: Ginzburg-Landau model additive white noise random attractor Hausdorff dimension.