| 一类五次系统的中心条件和极限环分支 |
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| 引用本文： | 米黑龙,刘灿辉.一类五次系统的中心条件和极限环分支[J].邵阳学院学报(自然科学版),2007,4(2):10-14. |
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| 作者姓名： | 米黑龙 刘灿辉 |
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| 作者单位： | 1. 湖南商学院,数学与信息科学系,湖南长沙,410083
2. 邵阳学院,理学系,湖南邵阳,422000 |
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| 摘 要： | 本文利用计算机代数系统Mathematica，计算并化简了一类五次系统的焦点量，同时得出了该系统的三个不同奇点成为中心的条件与极限环分支的情况．
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| 关 键 词： | 极限环 分支 中心 焦点 |
| 文章编号： | 1672-7010（2007）02-0010-05 |
| 修稿时间： | 2007-01-17 |
The central condition and limit cycles bifurcation for a class of fifth degree system |
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| MI Hei-long,LIU Can-hui.The central condition and limit cycles bifurcation for a class of fifth degree system[J].Journal of Shaoyang University:Science and Technology,2007,4(2):10-14. |
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| Authors: | MI Hei-long LIU Can-hui |
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| Institution: | 1.Department of Mathematics and Information Science,Hunan Business University, Changsha,Hunan 410083; 2. Department of Science and Information Science, Shaoyang University, Shaoyang, Hunan 422000 |
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| Abstract: | In this paper,The focal values of a class of fifth degree system are figure out and simplified by using Mathematica.At the same time, the condition that three singular points can be centers is obtained,the bifurcation of limit cycles is investigated. |
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| Keywords: | limit cycles bifurcation center focus |
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