| 一类二阶微分方程Poincaré分岔极限环的不存在性 |
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| 引用本文： | 吕宝红,罗俊芝,郑冬云.一类二阶微分方程Poincaré分岔极限环的不存在性[J].装甲兵工程学院学报,2010,24(4). |
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| 作者姓名： | 吕宝红 罗俊芝 郑冬云 |
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| 作者单位： | 装甲兵工程学院,基础部,北京,100072 |
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| 摘 要： | 讨论一类二阶微分方程x¨+εf(x,x.)x.+g(x)=0的Poincar分岔极限环的不存在性,利用一阶Mel’nikov函数直接从整体上进行分析讨论,得出了若干充分条件和判别准则。
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| 关 键 词： | Mel’nikov函数 Poincaré分岔 二阶微分方程 极限环 |
Nonexistence of Limit Cycles of a Class of Second Order Differential Equations in the Case of Poincaré Bifurcation |
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| L Bao-hong,LUO Jun-zhi,ZHENG Dong-yun.Nonexistence of Limit Cycles of a Class of Second Order Differential Equations in the Case of Poincaré Bifurcation[J].Journal of Armored Force Engineering Institute,2010,24(4). |
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| Authors: | L Bao-hong LUO Jun-zhi ZHENG Dong-yun |
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| Institution: | L(U) Bao-hong,LUO Jun-zhi,ZHENG Dong-yun |
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| Abstract: | The nonexistence of limit cycles of a class of second order differential equations H+εf(x,)+g(x)=0 is explored in the case of Poincaré bifurcation,the questions are analyzed and discussed from the whole expression by the method of the first order Mel’nikov function.Some sufficient conditions and criteria are obtained. |
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| Keywords: | Mel’nikov function Poincaré bifurcation second order differential equations limit cycles |
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