| 非线性动力系统的规范形和余维3退化分叉 |
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| 引用本文： | 张伟.非线性动力系统的规范形和余维3退化分叉[J].力学学报,1993,25(5):548-559. |
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| 作者姓名： | 张伟 |
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| 作者单位： | 天津大学力学系 |
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| 摘 要： | 本文里我们利用矩阵表示法计算了具有Z_(2~-)对称性时非线性动力系统的高阶规范形,求出了余维2退化和余维3退化情况下相应规范形的普适开折。最后利用所得到的规范形和普适开折讨论了非线性动力系统的余维3退化分叉。
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| 关 键 词： | 高阶规范形 非线性 动力系统 |
NORMAL FORM AND CODIMENSION 3 DEGENERATE BIFURCATION OF A NONLINEAR DYNAMICAL SYSTEM |
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| Zhang Wei.NORMAL FORM AND CODIMENSION 3 DEGENERATE BIFURCATION OF A NONLINEAR DYNAMICAL SYSTEM[J].chinese journal of theoretical and applied mechanics,1993,25(5):548-559. |
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| Authors: | Zhang Wei |
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| Abstract: | In this paper we use matrix representation method to compute the higher order normal form of a nonlinear dynamical system with Z2-symmetry. We obtain universal unfoldings corresponding to normal forms for codimension 2 and codimension 3 degenerate cases. Finally we use obtained normal form and universal unfolding to discuss codimension 3 degenerate bifurcations of nonlinear dynamical system. |
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| Keywords: | higher order normal form nonlinear dynamical system matrix repre- sentation method universal unfolding codimension 3 degenerate bifurcations |
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