| 一类微分系统无穷远点的中心和等时中心条件及极限环分支 |
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| 引用本文： | 卢景苹.一类微分系统无穷远点的中心和等时中心条件及极限环分支[J].广西科学,2010,17(4):311-315. |
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| 作者姓名： | 卢景苹 |
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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，广西研究生科研创新项目 |
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| 摘 要： | 用一个变换把系统无穷远点转化为原点,通过研究原点来研究无穷远点的性质,得到系统原点的奇点量和周期常数,中心和等时中心的充分必要条件及其极限环分支.
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| 关 键 词： | 多项式微分系统 无穷远点 中心 等时中心 极限环 |
| 收稿时间： | 2010/1/9 0:00:00 |
| 修稿时间： | 2010/3/19 0:00:00 |
Conditions of Infinity to Be a Center and Isochronous Center and Bifurcation of Limit Cycles for a Differential System |
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| LU Jing-ping.Conditions of Infinity to Be a Center and Isochronous Center and Bifurcation of Limit Cycles for a Differential System[J].Guangxi Sciences,2010,17(4):311-315. |
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| Authors: | LU Jing-ping |
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| Institution: | LU Jing-ping(School of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China) |
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| Abstract: | The conditions of infinity to be a center and isochronous center and bifurcation of limit cycles for a polynomial differential system are discussed. Infinity can be transferred into the origin by a transformation, and the behavior of system at infinity is investigated by using the methods of the origin. Using the computer algebra system-Mathematica, we compute the singular point values and the period constants at the origin, then give the sufficient and necessary conditions of infinity to be a center,an isochronous center and the bifurcation. |
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| Keywords: | polynomial differential system infinity center isochronous center limit cycle |
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