| 三次系统E_3~1存在四角形双曲线分界线环的充要条件 |
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| 引用本文： | 沈伯骞,沈聪.三次系统E_3~1存在四角形双曲线分界线环的充要条件[J].纯粹数学与应用数学,2000(3). |
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| 作者姓名： | 沈伯骞 沈聪 |
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| 作者单位： | 辽宁师范大学!大连116029(沈伯骞)，辽宁警官高等专科学校!大连116038(沈聪) |
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| 摘 要： | 得到了三次系统Ｅ１３存在四角形双曲线分界线环的充要条件，并给出了它们的拓扑分类和各种拓扑结构的参数条件．
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| 关 键 词： | 三次系统 四角形双曲线分界线环 拓扑结构 |
A necessary and sufficient condition of the existence of the quadrilateral hyperbolic separatrix cycles for the cubic system E_3~1 |
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| SHEN Bo-qian,SHEN Cong.A necessary and sufficient condition of the existence of the quadrilateral hyperbolic separatrix cycles for the cubic system E_3~1[J].Pure and Applied Mathematics,2000(3). |
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| Authors: | SHEN Bo-qian SHEN Cong |
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| Abstract: | We obtained a necessary and sufficient condition of the existence of the quadriliateral hyperbolic separatrix cycles for the cubic system E13. Then gave out thier Topological structure classification and the parameter condition of the every topological structures. |
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| Keywords: | cubic system E13 quadricateral hyperbolic separatrix cycle topological structu |
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