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.

引用

页数：9

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