| 一类多参数平面微分系统的全局结构分析 |
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| 引用本文： | 刘艺艺,窦霁虹,赵红妮.一类多参数平面微分系统的全局结构分析[J].江西科学,2014(2):192-197. |
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| 作者姓名： | 刘艺艺 窦霁虹 赵红妮 |
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| 作者单位： | 西北大学数学系,陕西西安710127 |
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| 基金项目： | 陕西省教育厅自然科学专项基金项目（11JK0511）. |
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| 摘 要： | 对一类多参数平面微分系统在实平面内进行了定性分析,并分析出系统参数变动对系统性态是如何影响的。最后得到极限环存在性、唯一性的若干条件。
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| 关 键 词： | 多参数 奇点 极限环 |
Analysis of Global Structure for a Class of Cubic Systems |
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| LIU Yi-yi,DOU Ji-hong,ZHAO Hong-ni.Analysis of Global Structure for a Class of Cubic Systems[J].Jiangxi Science,2014(2):192-197. |
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| Authors: | LIU Yi-yi DOU Ji-hong ZHAO Hong-ni |
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| Institution: | ( Department of Mathematics, Northwest University, Shanxi Xi＇an 710127 PRC ) |
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| Abstract: | In this paper,the qualitative analysis was discussed in the real plane for a class of cubic systems, and how the multi parameter changes influence the system was also discussed. The sufficient conditions for existence and uniqueness of limit cycle are finally obtained. |
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| Keywords: | Multi parameter Point singularity Limit cycle |
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