| 三维Ginzburg-Landau方程的吸引子的分形结构 |
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| 引用本文： | 李栋龙,李群宏.三维Ginzburg-Landau方程的吸引子的分形结构[J].广西大学学报(自然科学版),2003,28(3):218-224. |
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| 作者姓名： | 李栋龙 李群宏 |
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| 作者单位： | 1. 广西工学院,信计系,广西,柳州,545006
2. 广西大学,数学与信息科学学院,广西,南宁,530004 |
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| 基金项目： | Supported by Science Foundation of Guangxi University(Grant No:DD0 70 5 ) |
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| 摘 要： | 构造并证明了三维Ginzburg-Landau方程（CGL）uc=ρu (1 tγ）△u-(1 iμ）|u|^2σu整体吸引子紧的分形结构的存在性，进一步得到了吸引子的一个指数型的紧的分形局部化副近序列，从而改进并精细了该方程关于吸引子的有关结果。
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| 关 键 词： | Ginzburg—Landau方程 吸引子 分形结构 |
The fractal structure of attractor for complex Ginzburg-Landau equation in three-dimensions |
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| Abstract.The fractal structure of attractor for complex Ginzburg-Landau equation in three-dimensions[J].Journal of Guangxi University(Natural Science Edition),2003,28(3):218-224. |
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| Authors: | Abstract |
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| Abstract: | In this paper,the complex Ginzburg-Landau equation(CGL) in three spatial dimensionsut μt=ρu+(1+iγ)Δu-(1+iμ)|u|2σuis considered.The compact fractal structure of global attractor of CGL equation had been constructed and proved.Furture,an exponentially approximating sequence of compact fractal localizing sets of attractor had been found out. Therefore,the result about the attractor of CGL equation have been improved and sharped. |
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| Keywords: | Ginzburg-Landau equation attractor fractal structure |
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