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

Zhang Chen, Lingyu Li, Dandan Yang
2021 Advances in Difference Equations  
AbstractIn 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.
doi:10.1186/s13662-020-03127-5 fatcat:u2kiienekrfqld43wiuk5drkia