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Z n-equivariant singularity theory
Authors:He Guo-wei  Fang Tong
Institution: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
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 Zs-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. Project supported by the National Natural Science Foundation of China
Keywords:Z          n-equivariant singularity  resonance bifurcation  periodic parameter-excited system
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