| 全对称2n-1次系统的中心焦点与极限环分支 |
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| 引用本文： | 刘灿辉. 全对称2n-1次系统的中心焦点与极限环分支[J]. 邵阳学院学报(自然科学版), 2007, 4(1): 1-3 |
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| 作者姓名： | 刘灿辉 |
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| 作者单位： | 邵阳学院,理学系,湖南,邵阳,422000 |
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| 摘 要： | 本文研究了全对称2n-1次系统，求出了原点的前n-1阶焦点量，得出了该系统的中心条件及它在整个相平面上最多可扰动出n-1个小振幅极限环．
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| 关 键 词： | 全对称 焦点量 极限环 奇异闭轨 |
| 文章编号： | 1672-7010（2007）01-0001-03 |
| 收稿时间： | 2006-11-30 |
| 修稿时间： | 2006-11-30 |
Center or focus and limit cycles bifurcation on a class of 2n-1 degrees symmetrical system in the whole plane |
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| LIU Can-hui. Center or focus and limit cycles bifurcation on a class of 2n-1 degrees symmetrical system in the whole plane[J]. Journal of Shaoyang University(Natural Science Edition), 2007, 4(1): 1-3 |
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| Authors: | LIU Can-hui |
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| Abstract: | In this paper, a class of 2n-1 degrees symmetrical system in the whole plane is investigated.By the comp.utation of focal value,we prove that the system has n-1 limit cycles in the whole plane at most.At the same time,the central condition in the origin i., obtained. |
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| Keywords: | symmetry in the whole plane fucal value limit cycles closed orbit |
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