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  • 标题:Asymptotic behavior of random coupled Ginzburg–Landau equation driven by colored noise on unbounded domains
  • 本地全文:下载
  • 作者:Zhang Chen ; Lingyu Li ; Dandan Yang
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2021
  • 卷号:2021
  • 期号:1
  • 页码:1
  • DOI:10.1186/s13662-020-03127-5
  • 出版社:Hindawi Publishing Corporation
  • 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.
  • 关键词:Random coupled Ginzburg–Landau equation ; Colored noise ; Random attractor ; Singleton set
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