Normal Form of the Nonsemi-Simple Bifurcation Problem

Wu Zhiqiang; Chen Yushu; Bi Qinshen

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Article Navigation > Applied Mathematics and Mechanics > 1997 > 18(4): 325-330

Wu Zhiqiang, Chen Yushu, Bi Qinshen. Normal Form of the Nonsemi-Simple Bifurcation Problem[J]. Applied Mathematics and Mechanics, 1997, 18(4): 325-330.

Citation:

Wu Zhiqiang, Chen Yushu, Bi Qinshen. Normal Form of the Nonsemi-Simple Bifurcation Problem[J]. Applied Mathematics and Mechanics, 1997, 18(4): 325-330.

Citation:

Wu Zhiqiang, Chen Yushu, Bi Qinshen. Normal Form of the Nonsemi-Simple Bifurcation Problem[J]. Applied Mathematics and Mechanics, 1997, 18(4): 325-330.

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Normal Form of the Nonsemi-Simple Bifurcation Problem

Department of Mechanics, Tianjin University, Tianlin300072, P. R. China

Received Date: 1995-06-20
Rev Recd Date: 1995-11-06
Publish Date: 1997-04-15

Abstract

Abstract

On the basis of the method proposed in[1]. the paper gives the method for finding thenormal form of nonsemi-simple bifurcation problems. As an example, it analyses thenormal form of a general nonlinear dynamical system with the nonsemi-simple double zeroeigenvalues, and gives out the expression for the coefficients in the normal form by usingthose in the original system.
- normal form,
- nonsemi-simple bifurcation

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References(4)

References

[1]	吴志强,一种求解高维非线性动力系统范式的新方法,夭津大学博士学位论文(1996).
[2]	Wang Duo,An introduction to the normal form theory of ordinary differential equations,Advances in Mathematics, 19(1)(1990), 1-35.
[3]	陈予恕,《非线性振动系统的分叉和混沌理论》,高等教育出版社,北京(1993).
[4]	陈予恕、吴志强,多重非内共振Hopf分叉范式,力学学报.(待刊出)