| 参量激励vanderPol-Duffing系统的共振与非共振分叉 |
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| 引用本文： | 彭解华.参量激励vanderPol-Duffing系统的共振与非共振分叉[J].邵阳学院学报(社会科学版),2000(5). |
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| 作者姓名： | 彭解华 |
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| 作者单位： | 邵阳师专物理系!湖南邵阳422000 |
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| 摘 要： | 利用KBM法研究参量激励的vanderPol-Duffing非线性振动系统在除亚谐共振外的一切共振和非共振情况下的分叉问题 .利用KBM法导出了振子的分叉响应方程 ,研究了其稳定性 ,并且绘制了相图
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| 关 键 词： | 参量激振 vanderPol-Duffing系统 分叉 KBM法 |
Resonance and Non-resonance Bifurcation of a Parametrically Excited van der Pol-Duffing Oscillator |
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| Peng Jiehua.Resonance and Non-resonance Bifurcation of a Parametrically Excited van der Pol-Duffing Oscillator[J].Journal of Shaoyang University:Social Science,2000(5). |
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| Authors: | Peng Jiehua |
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| Abstract: | In this paper, a systematic analysis is made on the bifurcation of van der Pol-Duffing oscillator under non-1/2 sub-harmonic resonance. The bifurcation equation of the system is derived with KBM. The stability of the bifurcation solutions is investigated and the phase portraits are plotted. |
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| Keywords: | parametrical excitation van der Pol-Duffing Oscillator Bifurcation KBM |
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