| 引用本文： |
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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. [点击复制]
- HUANG Ting,HUANG Wen-tao,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. [点击复制]
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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. |
| 关键词: 微分系统 中心 等时中心 奇点量 可积性 周期常数 |
| DOI： |
| 投稿时间：2010-01-29 |
| 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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| Centers and Isochronous Centers of a Class of Quasi-seven-degree Systems |
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HUANG Ting, HUANG Wen-tao, LI Hui-li
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| (School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China) |
| 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. |
| Key words: differential equations center isochronous center singular point value integrability period constants |
