| 系统E_2~2在具有对称中心、鞍点和细焦点时分歧曲线的研究 |
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| 引用本文： | 董雨滋,马知恩,汪儿年.系统E_2~2在具有对称中心、鞍点和细焦点时分歧曲线的研究[J].西安交通大学学报,1988(1). |
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| 作者姓名： | 董雨滋 马知恩 汪儿年 |
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| 作者单位： | 太原重型机械学院，西安交通大学，西安交通大学 |
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| 摘 要： | 在本文中,我们对于具有对称中心,鞍点和细焦点的系统(E_2~2)作出了各种情况下全局结构图,研宄了对应于从一个鞍点到另一个鞍点的分界线的分歧曲线的存在性和唯一性,得到颇为完善的结果.
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| 关 键 词： | 分歧理论 鞍点 分界线 微分方程 |
ON BIFURCATION CURVES OF SYSTEM(E_2~2) HAVIKG SYMMETRY CENTRE, SADDLE POINTS AND FINE FOCUSES |
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| Dong Yuzi Ma Zhi''''en Wang Ernian.ON BIFURCATION CURVES OF SYSTEM(E_2~2) HAVIKG SYMMETRY CENTRE, SADDLE POINTS AND FINE FOCUSES[J].Journal of Xi'an Jiaotong University,1988(1). |
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| Authors: | Dong Yuzi Ma Zhi'en Wang Ernian |
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| Institution: | Dong Yuzi Ma Zhi'en Wang Ernian (Taiyuan Heavy Machinery College) (Xi'an Jiaotong University) |
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| Abstract: | This paper has investigated the system (E_2~2) having symmetry centre, saddle points and fine focuses, plotted the figures of its global qualitative structure in every case, studied the existence and uniqueness of the bifurcation curves corresponding to the separatrix from one saddle point to another. Fairly good result has been obtained. |
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| Keywords: | bifurcation theory saddle point separatrix differential equation |
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