| 一类拟三次系统的中心和等时中心 |
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| 引用本文： | 赵百利,窦玉娥. 一类拟三次系统的中心和等时中心[J]. 安徽工业大学学报, 2007, 24(4): 442-445 |
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| 作者姓名： | 赵百利 窦玉娥 |
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| 作者单位： | 中南大学数学科学与计算技术学院,湖南长沙410083 |
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| 摘 要： | 通过奇点量与周期常数的计算,得到一类拟三次系统的中心条件与等时中心条件,统一解决了几类平面微分自治系统的初等奇点、高次奇点、以及无穷远点的等时中心问题.
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| 关 键 词： | 拟三次系统 中心 等时中心 |
| 文章编号： | 1671-7872（2007）04-0442-04 |
| 收稿时间： | 2007-04-18 |
Centers and Isochronous Centers of a Class of Quasi-cubic Systems |
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| ZHAO Bai-li,DOU Yu-e. Centers and Isochronous Centers of a Class of Quasi-cubic Systems[J]. Journal of Anhui University of Technology, 2007, 24(4): 442-445 |
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| Authors: | ZHAO Bai-li DOU Yu-e |
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| Affiliation: | Institute of Mathematical Science and Computing Technique, Central South University, Changsha 410083, China |
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| Abstract: | By means of computations of singular point values and period constants, the problems of center conditions and isochronous center conditions for a class of quasi-cubic systems are solved. For some kinds of real planar autonomous differential systems, the conditions of elementary critical point, higher critical point and infinite point to be an isochronous center for a class of quasi-analytic systems are also given. |
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| Keywords: | quasi-cubic systems center isochronous center |
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