| 1／2亚谐共振──主参数共振情况下非线性振动系统的余维2退化分叉 |
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| 引用本文： | 张伟,霍拳忠.1／2亚谐共振──主参数共振情况下非线性振动系统的余维2退化分叉[J].应用力学学报,1993,10(2):75-79. |
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| 作者姓名： | 张伟 霍拳忠 |
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| 作者单位： | 天津大学，天津大学 天津 300072，天津 300072 |
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| 摘 要： | 本文应用Normal Form理论和退化向量场的普适开折理论研究了参数激励与强迫激励联合作用下非线性振动系统的余维2退化分叉,用Melnikov方法讨论了全局分叉的存在性.
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| 关 键 词： | 非线性振动 分叉 激励 振动理论 |
Degenerate Bifurcations of Codimension Two in Nonlinear Oscillator for 1/2 Subharmonics Resonance-Primary Parametric Resonance |
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| Zhang Wei Huo Quanzhong.Degenerate Bifurcations of Codimension Two in Nonlinear Oscillator for 1/2 Subharmonics Resonance-Primary Parametric Resonance[J].Chinese Journal of Applied Mechanics,1993,10(2):75-79. |
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| Authors: | Zhang Wei Huo Quanzhong |
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| Institution: | Tianjin University |
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| Abstract: | In this paper, we use normal form theory and universal unfolding theory of the degenerate vector field to study degenerate bifurcations of codimension two in nonlinear oscillator under combined parametric and forcing excitation. The existence of global bifurcation is discussed by using Melnikov's method. |
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| Keywords: | nonlinear oscillations normal form theory parametric and forcing excitation degenerate bifurcations of codimension two global bifurcation |
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