@Article{AAM-32-2,
author = {Xu, Jiahe and Zhou, Kang and Qiuying, Lu},
title = {Asymptotic Behavior for Generalized Ginzburg-Landau Population Equation with Stochastic Perturbation},
journal = {Annals of Applied Mathematics},
year = {2016},
volume = {32},
number = {2},
pages = {174--182},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {},
doi = {https://doi.org/2016-AAM-20636},
url = {https://global-sci.com/article/72780/asymptotic-behavior-for-generalized-ginzburg-landau-population-equation-with-stochastic-perturbation}
}