NORMAL FORM OF THE NONSEMI-SIMPLE BIFURCATION PROBLEM

Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (4): 349-354.

NORMAL FORM OF THE NONSEMI-SIMPLE BIFURCATION PROBLEM

吴志强, 陈予恕, 毕勤胜

Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China

收稿日期:1995-06-20 修回日期:1995-11-06 出版日期:1997-04-18 发布日期:1997-04-18
基金资助:
Project supported by the National Natural Science Foundation and the Doctoral Programme from the State Education Commission of China

NORMAL FORM OF THE NONSEMI-SIMPLE BIFURCATION PROBLEM

Wu Zhiqiang, Chen Yushu, Bi Qinshen

Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China

Received:1995-06-20 Revised:1995-11-06 Online:1997-04-18 Published:1997-04-18
Supported by:
Project supported by the National Natural Science Foundation and the Doctoral Programme from the State Education Commission of China

摘要/Abstract

摘要： 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.

关键词: normal form, nonsemi-simple bifurcation

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.

Key words: normal form, nonsemi-simple bifurcation

吴志强;陈予恕;毕勤胜. NORMAL FORM OF THE NONSEMI-SIMPLE BIFURCATION PROBLEM[J]. Applied Mathematics and Mechanics (English Edition), 1997, 18(4): 349-354.

Wu Zhiqiang;Chen Yushu;Bi Qinshen. NORMAL FORM OF THE NONSEMI-SIMPLE BIFURCATION PROBLEM[J]. Applied Mathematics and Mechanics (English Edition), 1997, 18(4): 349-354.

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NORMAL FORM OF THE NONSEMI-SIMPLE BIFURCATION PROBLEM

NORMAL FORM OF THE NONSEMI-SIMPLE BIFURCATION PROBLEM

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