This article concerns recurrent motion in the fractional complex Ginzburg–Landau equation with a small recurrent force. By using Galerkin’s method and energy estimate method, we obtain the existence of the bounded solutions, periodic solutions, quasiperiodic solutions, almost periodic solutions, and almost automorphic solutions under suitable assumptions.

中文翻译：

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分数复数 Ginzburg-Landau 方程中的循环运动

本文涉及具有小循环力的分数复数 Ginzburg-Landau 方程中的循环运动。利用伽辽金法和能量估计法，在适当的假设下，我们得到了有界解、周期解、拟周期解、近周期解和近自守解的存在性。