| 具有非线性恢复力和外力激励的Duffing-Van der Pol系统的谐波解 |
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| 引用本文： | 冉彬,黄翔,苟清明.具有非线性恢复力和外力激励的Duffing-Van der Pol系统的谐波解[J].湘潭大学自然科学学报,2011,33(1). |
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| 作者姓名： | 冉彬 黄翔 苟清明 |
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| 作者单位： | 1. 长江师范学院,数学系,重庆,涪陵,408100
2. 湖南师范大学数学与计算机学院,湖南,长沙,410081 |
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| 基金项目： | 重庆市教育委员会科学技术研究资助项目 |
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| 摘 要： | 应用动力系统的分支理论和二阶平均方法,研究带非线性恢复力和外力激励的Duffing-Van der Pol系统随系统参数变化的谐波解分支,得到了谐波解和其分支存在的条件.
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| 关 键 词： | Duffing-Van der Pol系统 二阶平均方法 谐波解 分支 |
Harmonic Solutions in Duffing-Van der Pol System with Nonlinear Restoring and External Excitations |
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| RAN Bin,HUANG Xiang,GOU Qing-ming.Harmonic Solutions in Duffing-Van der Pol System with Nonlinear Restoring and External Excitations[J].Natural Science Journal of Xiangtan University,2011,33(1). |
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| Authors: | RAN Bin HUANG Xiang GOU Qing-ming |
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| Institution: | RAN Bin1,HUANG Xiang2,GOU Qing-ming(1.Department of Mathematics,Yangtze Normal University,Fuling 408100,2.Department of Mathematics,Normal University,Changsha 410081 China) |
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| Abstract: | The bifurcational behaviours as the system's parameters vary in Duffing-Van der Pol system with nonlinear restoring and external excitations are investigated by using bifurcation theory and second-order averaging methods.We obtained the conditions of existence of harmonic solutions and their bifurcations. |
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| Keywords: | Duffing-Van der Pol system second-order averaging methods harmonic solutions bifurcations |
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