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is studied. The existence of global attractor for this equation with periodic boundary condition is established and upper bounds of Hausdorff and fractal dimensions of attractor are obtained.

Long time behaviour for generalized complex Ginzburg–Landau equation
Authors:Donglong Li   Zhengde Dai  Xuhong Liu
Affiliation:aGuangxi Institute of Technology, Liuzhou 545006, PR China;bYunnan University, Kunming 650091, PR China
Abstract:In this paper, the two-dimensional generalized complex Ginzburg–Landau equation (CGL)
ut=ρu−Δφ(u)−(1+iγuνΔ2u−(1+iμ)|u|2σu+αλ1dot operatorbackward difference(|u|2u)+β(λ2dot operatorbackward difference)|u|2
Keywords:Generalized complex Ginzburg–  Landau equation   Global attractor   Fractal dimension
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