| 一类三次系统原点的奇点量与极限环分枝 |
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| 引用本文： | 王勤龙,刘建平.一类三次系统原点的奇点量与极限环分枝[J].桂林电子科技大学学报,2002,22(3):39-41. |
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| 作者姓名： | 王勤龙 刘建平 |
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| 作者单位： | 1. 中南大学,数软系,湖南,长沙,410083
2. 广西大学,理学院,广西,南宁,530003 |
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| 摘 要： | 运用奇点量理论和计算方法求出了一类三次系统原点的最高阶奇点量并证明为 5阶 ;由此解决了其原点的稳定性和可积性条件问题 ;作出此三次系统对应实系统的弱分枝函数并构造出其原点分枝出 5个极限环的具体形式。
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| 关 键 词： | 三次系统 最高阶奇点量 稳定性 极限环分枝 |
| 文章编号： | 1001-7437(2002)03-39-03 |
| 修稿时间： | 2002年3月1日 |
The Singular Point and Limit Cycle Bifurcation of the Origin for a Class of Cubic System |
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| WANG Qin-long ,LIU Jian-ping.The Singular Point and Limit Cycle Bifurcation of the Origin for a Class of Cubic System[J].Journal of Guilin Institute of Electronic Technology,2002,22(3):39-41. |
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| Authors: | WANG Qin-long LIU Jian-ping |
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| Affiliation: | WANG Qin-long 1,LIU Jian-ping 2 |
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| Abstract: | According the theory of the singular point value and the calculating method, the highest singular point of the origin- 5th degree is obtained and proved for a class of cubic system.The problems of stability and integral condition of the origin are also solved.At the same time,the function of limit cycle bifurcation and the specific form with 5 cycles are created. |
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| Keywords: | cubic system the highest singular point stability bifurcation |
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