| 一类四次多项式系统原点的极限环分支 |
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| 引用本文： | 卢景苹.一类四次多项式系统原点的极限环分支[J].广西科学,2013,20(2):85-87. |
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| 作者姓名： | 卢景苹 |
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| 作者单位： | 广西民族师范学院数学与计算机科学系,广西崇左,532200 |
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| 基金项目： | 国家自然科学基金项目，广西教育厅高校科研项目 |
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| 摘 要： | 给出一类四次多项式系统原点的前8个奇点量,由奇点量导出焦点量,得到该系统原点成为8阶细焦点的条件,证明该系统从原点可以分支出8个极限环.
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| 关 键 词： | 四次多项式系统 奇点量 焦点量 极限环 |
| 收稿时间： | 2012/12/22 0:00:00 |
| 修稿时间： | 2013/2/27 0:00:00 |
The Bifurcation of Limit Cycles for a Quartic Polynomial System |
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| LU Jing-ping.The Bifurcation of Limit Cycles for a Quartic Polynomial System[J].Guangxi Sciences,2013,20(2):85-87. |
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| Authors: | LU Jing-ping |
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| Institution: | LU Jing-ping(Department of Mathematics and Computer Science, Guangxi Normal University for Nationalities,Chongzuo,Guangxi,532200,China) |
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| Abstract: | The bifurcation of limit cycles from a weak focal is investigated for a quartic polynomial system. The first 8 singular point values are given at the origin of system,and the focal values can be derived from the singular points, then the conditions that the origin is an 8-order weak focal is obtained. Finally, it is proved that this system has 8 limit cycles in the neighborhood of the origin. |
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| Keywords: | quartic polynomial system singular point value focal value limit cycle |
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