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Recurrent motion in the fractional complex Ginzburg–Landau equation

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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… Click to show full abstract

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.

Keywords: fractional complex; motion fractional; complex ginzburg; ginzburg landau; recurrent motion; landau equation

Journal Title: Journal of Mathematical Physics
Year Published: 2020

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