| 一类三次微分系统的极限环 |
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| 引用本文： | 洪晓春. 一类三次微分系统的极限环[J]. 云南师范大学学报(自然科学版), 2006, 26(6): 12-15 |
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| 作者姓名： | 洪晓春 |
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| 作者单位： | 曲靖师范学院初等教育系,云南,曲靖,655000 |
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| 基金项目： | 云南省自然科学基金;云南省教育厅资助项目 |
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| 摘 要： | 用判定函数法和数值探测法，对一类三次微分系统的极限环情况进行了研究，得出该系统有且只有1个极限环，并且给出了该极限环的准确位置。
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| 关 键 词： | 三次微分系统 极限环 判定函数 数值探测 |
| 文章编号： | 1007-9793(2006)06-0012-04 |
| 收稿时间： | 2006-02-22 |
| 修稿时间： | 2006-02-22 |
The distribution of limit cycles for a class of cubic differential system |
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| HONG Xiao-chun. The distribution of limit cycles for a class of cubic differential system[J]. Journal of Yunnan Normal University (Natural Sciences Edition), 2006, 26(6): 12-15 |
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| Authors: | HONG Xiao-chun |
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| Affiliation: | Primary Education Department, Qujing Normal College, Qujing 655000,China |
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| Abstract: | This paper focuses on investigating the distribution of limit cycles for a class of cubic differntial system. By using the method of both detection function and numerical exploration, it is proved that the system has only one limit cycle. The precise place of the limit cycle is estimated. |
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| Keywords: | cubic differntial system limit cycle detection function numerical exploration |
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