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

Advances in Difference Equations

article

Chen, Zhang¹  Li, Lingyu¹  Yang, Dandan¹ 

[1] School of Mathematics, Shandong University

关键词: Random coupled Ginzburg–Landau equation;    Colored noise;    Random attractor;    Singleton set;   

DOI  :  10.1186/s13662-020-03127-5

学科分类：航空航天科学

来源: SpringerOpen

【 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.

【 授权许可】

CC BY