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| The Center and the Fine Focus for a Class of Quartic Polynomial Poincare Equations | |
| 引用本文： | TIANDe-sheng ZENGXian-wu YUChang-chun LIPei-luan. The Center and the Fine Focus for a Class of Quartic Polynomial Poincare Equations[J]. 武汉大学学报:自然科学英文版, 2004, 9(6): 867-870. DOI: 10.1007/BF02850788 |
| 作者姓名： | TIANDe-sheng ZENGXian-wu YUChang-chun LIPei-luan |
| 作者单位： | SchoolofMathematicsandStatistics,WuhanUniversity,Wuhan430072,Hubei,China |
| 基金项目： | theNationalNaturalScienceFoundationofChina (1 9531 0 70 ) |
| 摘 要： | We study a class of quartic polynomial Poincare equations by applying a recurrence formula of focal value. We give the necessary and sufficient conditions for the origin to be a center, and prove that the order of fine focus at the origin for this class of equations is at most 6. |
| 关 键 词： | 四次多项式庞加莱方程 中心点 细焦点 常微分方程 原点 |
| 收稿时间： | 2003-10-31 |
The center and the fine focus for a class of quartic polynomial poincare equations |
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| Tian De-sheng,Zheng Xian-wu,Yu Chang-chun,Li Pei-luan. The center and the fine focus for a class of quartic polynomial poincare equations[J]. Wuhan University Journal of Natural Sciences, 2004, 9(6): 867-870. DOI: 10.1007/BF02850788 | |
| Authors: | Tian De-sheng Zheng Xian-wu Yu Chang-chun Li Pei-luan |
| Affiliation: | (1) School of Mathematics and Statistics, Wuhan University, 430072 Wuhan, Hubei, China |
| Abstract: | We study a class of quartic polynomial Poincare equations by applying a recurrence formula of focal value. We give the necessary and sufficient conditions for the origin to be a center, and prove that the order of fine focus at the origin for this class of equations is at most 6. |
| Keywords: | quartic polynomial Poincare equation center fine focus order |
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