Asymptotic behavior of random coupled Ginzburg–Landau equation driven by colored noise on unbounded domains
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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.
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2008 ◽
Vol 198
(2)
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pp. 849-857
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2007 ◽
Vol 2
(3)
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pp. 383-416
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2007 ◽
Vol 19
(4)
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pp. 711-736
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2009 ◽
Vol 30
(8)
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pp. 945-956
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2004 ◽
Vol 45
(11)
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pp. 4064-4076
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