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Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (11): 1039-1045.

• 论文 • 上一篇    下一篇

Zn-EQUIVARIANT SINGULARITY THEORY

何国威1, 方同2   

  1. 1. Laboratory for Nonlinear Mechanics of Continuous Media, Institute of Mechanics, Chinese Academy of Sciences, Beijng;
    2. Center of Vibration, Northwestern Polytechnic of University, Xi’an
  • 收稿日期:1992-11-09 出版日期:1993-11-18 发布日期:1993-11-18
  • 通讯作者: Li Jia-chun
  • 基金资助:

    National Natural Science Foundation of China

Zn-EQUIVARIANT SINGULARITY THEORY

He Guo-wei1, Fang Tong2   

  1. 1. Laboratory for Nonlinear Mechanics of Continuous Media, Institute of Mechanics, Chinese Academy of Sciences, Beijng;
    2. Center of Vibration, Northwestern Polytechnic of University, Xi’an
  • Received:1992-11-09 Online:1993-11-18 Published:1993-11-18
  • Supported by:

    National Natural Science Foundation of China

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摘要： The basic concepts, normal forms and universal unfoldings of Zn-equivariant singularity are investigated in the present paper. As an example, the normal forms and universal unfoldings of Zi-singularity are formulated. As a matter of fact, the theory provides a useful tool to study the subharmonic resonance bifurcation of the periodic parameter-excited system.

关键词: Zn-equivariant singularity, resonance bifurcation, periodic parameter-excited system

Abstract: The basic concepts, normal forms and universal unfoldings of Zn-equivariant singularity are investigated in the present paper. As an example, the normal forms and universal unfoldings of Zi-singularity are formulated. As a matter of fact, the theory provides a useful tool to study the subharmonic resonance bifurcation of the periodic parameter-excited system.

Key words: Zn-equivariant singularity, resonance bifurcation, periodic parameter-excited system

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