| 一类二次微分系统在三次多项式扰动下的极限环估计 |
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| 引用本文： | 吕宝红,董玉才,夏静.一类二次微分系统在三次多项式扰动下的极限环估计[J].装甲兵工程学院学报,2012,26(2):95-98. |
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| 作者姓名： | 吕宝红 董玉才 夏静 |
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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： | 计算了一类二次Hamilton微分系统的一阶Mel’nikov函数,通过此方法对该系统在三次多项式扰动下分岔的极限环个数进行了估计。
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| 关 键 词： | Mel’nikov函数 极限环 Hamilton系统 |
Limit Cycle Evaluation of Quadratic Differential System Under the Cubic Polynomial Perturbation |
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| Lü Bao-hong,DONG Yu-cai,XIA Jing.Limit Cycle Evaluation of Quadratic Differential System Under the Cubic Polynomial Perturbation[J].Journal of Armored Force Engineering Institute,2012,26(2):95-98. |
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| Authors: | Lü Bao-hong DONG Yu-cai XIA Jing |
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| Institution: | (Department of Fundamental Courses,Academy of Armored Force Engineering,Beijing 100072,China) |
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| Abstract: | The first order Mel’nikov function of a class of Hamilton differential system is calculated,and the number of limit cycle which is bifurcated under the cubic polynomial perturbation is estimated by this method. |
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| Keywords: | Mel’ nikov function limit cycle Hamilton system |
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