Asymptotic behavior of random coupled Ginzburg-Landau equation driven by colored noise on unbounded domains

被引：3
|
作者：
Chen, Zhang [1 ]
Li, Lingyu [1 ]
Yang, Dandan [1 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期
关键词：
Random coupled Ginzburg-Landau equation; Colored noise; Random attractor; Singleton set; SYNCHRONIZATION; SYSTEMS;
D O I：
10.1186/s13662-020-03127-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a random coupled Ginzburg-Landau equation driven by colored noise on unbounded domains is considered, in which the nonlinear term satisfies a local Lipschitz condition. It is shown that the random attractor of such a coupled Ginzburg-Landau equation is a singleton set, and the components of solutions are very close when the coupling parameter becomes large enough.
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页数：9
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