@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 = {

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.

}, 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} }