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....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.展开更多
文摘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.