Asymptotic behaviour of non-autonomous discrete complex Ginzburg-Landau equations driven by nonlinear noise

被引：2
|
作者：
Zou, Aihong [1 ,2 ]
Zhang, Lu [1 ,2 ]
Yan, Tao [1 ,2 ]
Shu, Ji [1 ,2 ]
机构：
[1] Sichuan Normal Univ, Laurent Math Ctr, Sch Math Sci, Chengdu 610066, Peoples R China
[2] Sichuan Normal Univ, VC & VR Key Lab, Chengdu 610066, Peoples R China
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2021年 / 27卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Discrete Ginzburg-Landau equation; weak random attractor; nonlinear noise; mean random dynamical systems; TRAVELING-WAVES; PULLBACK ATTRACTORS; PROPAGATION; EXISTENCE; SYSTEMS; DYNAMICS;
D O I：
10.1080/10236198.2021.1957857
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider dynamical behaviour for stochastic discrete complex Ginzburg-Landau equations driven by locally Lipschitz nonlinear noise. Weprove the existence and uniqueness of solutions. Thus the solution operators generate mean random dynamical systems. Finally, the existence and uniqueness for weak pullback random attractors in l (2) are established.
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页码：947 / 965
页数：19
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