| 一类高次多项式系统极限环的讨论 |
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| 引用本文： | 封汉颍.一类高次多项式系统极限环的讨论[J].军械工程学院学报,1997(1). |
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| 作者姓名： | 封汉颍 |
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| 作者单位： | 军械工程学院数学教研室 石家庄 |
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| 摘 要： | 通过变换将一类高次多项式系统化为Lienard系统,利用Hopf分枝定理和张芷芬唯一性定理,证明了该类系统极限环的存在性与唯一性。
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| 关 键 词： | 高次多项式系统 极限环 存在性 唯一性 |
DISCUSSION OF LIMIT CYCLES FOR A CLASS OF HIGHER POLYNOMIAL SYSTEMS |
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| Feng Hanying.DISCUSSION OF LIMIT CYCLES FOR A CLASS OF HIGHER POLYNOMIAL SYSTEMS[J].Journal of Ordnance Engineering College,1997(1). |
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| Authors: | Feng Hanying |
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| Institution: | Teaching and Research Section of Maths |
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| Abstract: | By transformation, we change a class of higher polynomial system into a Lienard's system. Applying Hopf bifurcation theorem and uniqueness theorem by Zhang Zhifen, we prove the existence and uniqueness of limit cycles for the system. |
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| Keywords: | higher polynomial system limit cyde existence uniqueness |
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