| 一类平面五次系统的定性分析 |
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| 引用本文： | 林宏康,蔡燧林,谢向东. 一类平面五次系统的定性分析[J]. 数学研究, 1995, 28(4): 19-23 |
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| 作者姓名： | 林宏康 蔡燧林 谢向东 |
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| 作者单位： | 宁德师专，浙江大学，宁德师专 |
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| 摘 要： | 本文研究平面五次系统（１．１），应用［４，５］的最新结果，给出了奇点Ｏ（０，０）为中心的充要条件和焦点量公式，以及（１．１）至多有一个，二个极限环的充分条件．
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| 关 键 词： | 五次系统，Abel方程，极限环，中心焦点判定 |
Qualitative Analysis for a Planar Quintic System |
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| Lin Hongkang, Cai Suilin, Xie Xiangdong. Qualitative Analysis for a Planar Quintic System[J]. Journal of Mathematical Study, 1995, 28(4): 19-23 |
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| Authors: | Lin Hongkang Cai Suilin Xie Xiangdong |
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| Affiliation: | Lin Hongkang; Cai Suilin; Xie Xiangdong (Ningde Teacher's College) (Zhejiang Uniersity) (Ningde Teacber's College) |
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| Abstract: | In this paper, we study a class of a planar quintic system (1.1) .With the new result of papers [4,5], we obtains the necessary and sufficient conditions under which O(0,0) is a center of (1,1).focus valus of each order at O(0,0)and sufficient conditions under which (1. 1) these exist only one or only two limit cycles. |
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| Keywords: | Quintic system Abel equation Limit cycle Decision of centet or focus |
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