| 中心条件推导的间接方法 |
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| 引用本文： | 桑波,李艳会,朱思铭.中心条件推导的间接方法[J].应用数学学报,2007,30(1):138-145. |
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| 作者姓名： | 桑波 李艳会 朱思铭 |
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| 作者单位： | 1. 聊城大学数学科学学院,聊城,252059;中山大学数学与计算科学学院,广州,510275
2. 中山大学数学与计算科学学院,广州,510275 |
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| 摘 要： | 对于一类多项式系统,给出两类对称条件的推导算法,具体讨论了一类三次系统的中心条件;对于Poincare型系统,给出一类等时中心的充分条件．
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| 关 键 词： | 中心条件 时间可逆 广义对称 等时中心 |
| 修稿时间： | 2005-08-24 |
Indirect Methods for Deriving Center Conditions |
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| SANG BO,LI YANHUI,ZHU SIMING.Indirect Methods for Deriving Center Conditions[J].Acta Mathematicae Applicatae Sinica,2007,30(1):138-145. |
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| Authors: | SANG BO LI YANHUI ZHU SIMING |
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| Institution: | Department of Mathematics, Sun Yat-sen University, Guangzhou 510275;Department of Mathematicsss, Liaocheng University, Liaocheng 252059 |
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| Abstract: | For a class of polynoimial systems, algorithms for deriving two kinds of symmetric conditions are given, and the center conditions for generic cubic systems is investigated in detail. For Poincare systems, we obtain a sufficient condition for the orgin to be isochronous center. |
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| Keywords: | center conditions time-reversible generalized symmetry isochronous center |
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