| 广义Burgers方程的动态分歧 |
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| 引用本文： | 王仲平,钟承奎. 广义Burgers方程的动态分歧[J]. 兰州大学学报(自然科学版), 2009, 45(4) |
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| 作者姓名： | 王仲平 钟承奎 |
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| 作者单位： | 兰州大学,数学与统计学院,兰州,730000;兰州交通大学,数理与软件工程学院,兰州,730070;兰州大学,数学与统计学院,兰州,730000 |
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| 基金项目： | Supported by the National Natural Science Foundation of China(10771089) |
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| 摘 要： | 对广义Burgers方程给出了分歧分析,在两种情形下证明了当参数λ穿过第一临界值λ0=1时,该问题分歧出一个吸引子.该分析是以新的而又成熟的吸引子分歧理论为基础,同时运用了特征值分析和中心流形约化方法.
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| 关 键 词： | 广义Burgers方程 吸引子分歧 中心流形 |
Dynamic bifurcation for the generalized Burgers equations |
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| WANG Zhong-ping,ZHONG Cheng-kui. Dynamic bifurcation for the generalized Burgers equations[J]. Journal of Lanzhou University(Natural Science), 2009, 45(4) |
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| Authors: | WANG Zhong-ping ZHONG Cheng-kui |
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| Affiliation: | 1;2;1.School of Mathematics and Statistics;Lanzhou University;Lanzhou 730000;China;2.School of Mathematics;Physics and Software Engineering;Lanzhou Jiaotong University;Lanzhou 730070;China |
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| Abstract: | Bifurcation analysis was presented on the generalized Burgers equation. It is proved that the problem bifurcate an attractor as λ crossed the first critical value λ0 = 1 under two cases, and the analysis was based on a newly developed and mature attractor bifurcation theory, together with the eigenvalue analysis and the center manifold reduction. |
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| Keywords: | generalized Burgers equation attractor bifurcation center manifold |
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