| 一类高次多项式系统极限环的存在性和唯一性 |
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| 引用本文： | 曹斌,王晓霞,贺祖国. 一类高次多项式系统极限环的存在性和唯一性[J]. 数学的实践与认识, 2007, 37(24): 136-139 |
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| 作者姓名： | 曹斌 王晓霞 贺祖国 |
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| 作者单位： | 1. 北京交通大学,理学院,北京,100044
2. 北京邮电大学,理学院,北京,100876 |
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| 摘 要： | 通过变换将一类高次多项式系统转化为广义Liénard系统,并利用广义Liénard系统的结果研究了其极限环存在性问题,推广了相关文献的结果.
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| 关 键 词： | 广义Liénard系统 极限环 高次多项式系统 |
| 修稿时间： | 2007-04-03 |
The Existence and Uniqueness of the Limit Cycles for a Class of the Higher Degree Polynomial Systems |
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| CAO Bin,WANG Xiao-xia,HE Zu-guo. The Existence and Uniqueness of the Limit Cycles for a Class of the Higher Degree Polynomial Systems[J]. Mathematics in Practice and Theory, 2007, 37(24): 136-139 |
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| Authors: | CAO Bin WANG Xiao-xia HE Zu-guo |
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| Abstract: | We transform a class of the higher degree polynomial system into the generalized Liénard system and discuss the existence of limit cycles for this system by using the abundant results of the generalized Liénard system.The results of relevant reference are generalized. |
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| Keywords: | generalized Liénard system limit cycle higher degree polynomial system |
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