| 一类高次多项式系统的定性分析 |
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| 引用本文： | 王政,沈桂芳. 一类高次多项式系统的定性分析[J]. 山东理工大学学报：自然科学版, 2006, 20(3): 6-8 |
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| 作者姓名： | 王政 沈桂芳 |
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| 作者单位： | 山东理工大学,数学与信息科学学院,山东,淄博,255049;淄博第十七中学,山东,淄博,255012 |
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| 摘 要： | 利用平面自治系统的极限环与分支理论研究了一类高次多项式系统,得到了该系统极限环的存在惟一性,所得结论改进了有关结果.
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| 关 键 词： | 高次多项式系统 极限环 存在性 唯一性 |
| 文章编号： | 1672-6197(2006)03-0006-03 |
| 收稿时间： | 2005-09-12 |
| 修稿时间： | 2005-09-12 |
Qualitative analysis for a class of higher polynomial system |
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| WANG Zheng,SHEN Gui-fang. Qualitative analysis for a class of higher polynomial system[J]. Journal of Shandong University of Technology:Science and Technology, 2006, 20(3): 6-8 |
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| Authors: | WANG Zheng SHEN Gui-fang |
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| Affiliation: | 1. School of Mathematics and Information Science, Shandong University of Technology, Zibo, 255049, China; 2. Zibo Seventeenth Middle School, Zibo 255012, China |
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| Abstract: | A class of higher polynomial system is researched by the theory of limit cycles and bifurcation of the plane autonomous system.The existence and uniqueness of its limit cycles and bifurcations are obtained.The results of predecessors are extended and improved. |
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| Keywords: | higher polynomial system limit cycle existence uniqueness |
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