Periodic and quasi-periodic solutions for the complex Ginzburg–Landau equation

Periodic and quasi-periodic solutions for the complex Ginzburg–Landau equation
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DOI：
10.1088/0951-7715/21/3/004
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发表时间：
2008-03
期刊：
Nonlinearity
影响因子：
1.7
通讯作者：
K. Chung;Xiaoping Yuan
K. Chung;Xiaoping Yuan
中科院分区：
数学2区
文献类型：
--
作者：
K. Chung;Xiaoping Yuan

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本文证明了对于线性驱动项和耗散项的某些系数，复Ginzburg-Landau方程存在周期解的连续分支和拟周期解的Cantorian分支，并且这些解通常是双曲的。
In this paper, we prove that there are a continuous branch of periodic solutions and a Cantorian branch of quasi-periodic solutions for the complex Ginzburg–Landau equation for some coefficients of the linear driving term and the dissipation term and these solutions are normally hyperbolic.