| Ginzburg－Landau－Newell模型的动力学行为 |
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| 引用本文： | 高洪俊.Ginzburg－Landau－Newell模型的动力学行为[J].应用数学学报,1996(1). |
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| 作者姓名： | 高洪俊 |
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| 作者单位： | 北京应用物理与计算数学研究所 |
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| 摘 要： | 木文对Ｇｉｎｚｂｕｒｇ－Ｌａｎｄａｕ－Ｎｅｗｅｄ模型的动力学行为进行了讨论，得到了该模型的整体吸引子的存在性，同时得到了此吸引子维数的下界估计和该吸引子的Ｈａｕｓｄｏｒｆｆ维数和Ｗａｃｔａｌ（分形）维数的上界估计．
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| 关 键 词： | Ginzburg－Landau－Newell模型，整体吸引子，Hausdorff维数，Mactal维数 |
DYNAMICAL BEHMIOR OF GINZBURG-LANDAU-NEWELL MODEL |
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| GAO HONGJUN.DYNAMICAL BEHMIOR OF GINZBURG-LANDAU-NEWELL MODEL[J].Acta Mathematicae Applicatae Sinica,1996(1). |
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| Authors: | GAO HONGJUN |
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| Abstract: | in this paper, we consider the dynamics behavior of Ginzburg-Landau-Newellmodel, we obtain the existence of the global attractors for this model, meanwhile, we getthe lower bounds on the dimension of the global attractor, and get an upper bounds on thedimension of the global attractor in terms of physical quantities. |
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| Keywords: | Ginzburg-Landau-Newed model global attractors dimension of Hausdorff dimension of Fractal |
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