| 一类拟七次系统原点的中心与等时中心的条件 |
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| 引用本文： | 黄婷,黄文韬,李慧丽.一类拟七次系统原点的中心与等时中心的条件[J].广西科学院学报,2011,27(3):178-181. |
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| 作者姓名： | 黄婷 黄文韬 李慧丽 |
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| 作者单位： | 桂林电子科技大学数学与计算科学学院,广西桂林,541004 |
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| 基金项目： | 国家自然科学基金项目(10961011); 广西研究生科研创新项目(2010105950701M30)资助 |
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| 摘 要： | 研究一类拟七次解析系统的中心条件与等时中心条件,得到该系统原点的前24个奇点量及系统原点成为中心的条件,再通过对周期常数的计算,得到其复解析系统原点成为等时中心的必要条件,并证明这些条件的充分性.
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| 关 键 词： | 微分系统 中心 等时中心 奇点量 可积性 周期常数 |
| 收稿时间： | 2010/1/29 0:00:00 |
Centers and Isochronous Centers of a Class of Quasi-seven-degree Systems |
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| HUANG Ting,HUANG Wen-tao and LI Hui-li.Centers and Isochronous Centers of a Class of Quasi-seven-degree Systems[J].Journal of Guangxi Academy of Sciences,2011,27(3):178-181. |
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| Authors: | HUANG Ting HUANG Wen-tao and LI Hui-li |
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| Institution: | HUANG Ting,HUANG Wen-tao,LI Hui-li (School of Mathematics and Computing Science,Guilin University of Electronic Technology,Guilin,Guangxi,541004,China) |
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| Abstract: | The centers and isochronous centers of the origin for a class of quasi-seven-degree system were studied.After calculating the first twenty-four singular point values,conditions for the origin were obtained to be a center.Then necessary conditions for the origin to be an isochronous center were found through computing and simplifying the period constants.Moreover,the sufficiency were proved by effective methods. |
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| Keywords: | differential equations center isochronous center singular point value integrability period constants |
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