In this paper,the Gizburg-Landau equation with small complex coefficients is considered.A translation is introduced to transform the Ginzburg-Landau equation into a dynamical system.Moreover,the existence and the properties of the equilibria are discussed.The spatial quasiperiodic solutions disappear due to the pertubation are proved.Finally,several types of heteroclinic orbits are proposed and numerical analysis are provided.
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