| 一类六对称五次多项式微分系统的小振幅极限环分支 |
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| 引用本文： | 梁德辉,黄文韬,肖占兵.一类六对称五次多项式微分系统的小振幅极限环分支[J].广西科学,2008,15(3):247-249. |
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| 作者姓名： | 梁德辉 黄文韬 肖占兵 |
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| 作者单位： | 桂林电子科技大学计算科学与数学学院,广西桂林,541004 |
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| 摘 要： | 研究一类六对称五次多项式微分系统的小振幅极限环分支问题,给出该系统奇点量的递推公式和系统的焦点量,并推导出这类六对称五次多项式系统在6个细焦点可以分支出12个小振幅极限环.
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| 关 键 词： | 微分系统 细焦点 奇点量 极限环分支 |
| 收稿时间： | 2007/7/13 0:00:00 |
| 修稿时间： | 2007/7/27 0:00:00 |
Small Limit Cycles Bifurcating from Fine Focus Points in Quintic Order Z6-equivariant Polynomial System |
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| LIANG De-hui,HUANG Wen-tao and XIAO Zhan-bing.Small Limit Cycles Bifurcating from Fine Focus Points in Quintic Order Z6-equivariant Polynomial System[J].Guangxi Sciences,2008,15(3):247-249. |
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| Authors: | LIANG De-hui HUANG Wen-tao and XIAO Zhan-bing |
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| Institution: | Department of Computing Science and Mathematics, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China,Department of Computing Science and Mathematics, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China and Department of Computing Science and Mathematics, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China |
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| Abstract: | In this work,we study bifurcation of small limit cycles for a class of quintic order Z6-equivariant polynomial system,and the recursive formula of computing singular point values and the focus point values of this system are getten.It shows that this system allows the appearance of twelve limit cycles in six fine focus points. |
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| Keywords: | differential system fine focus point singular point value bifurcation of limit cycles |
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