Acta mathematica scientia,Series B ›› 2004, Vol. 24 ›› Issue (4): 623-632.

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THE UNFOLDING OF EQUIVARIANT BIFURCATION PROBLEMS WITH PARAMETERS SYMMETRY

 Gao Shouping, Li Yangcheng   

  1. Department of Mathematics, XiangNan University, Chenzhou 423000, China Department of Applied Mathematics, Central South University, Changsha 410083, China
  • Online:2004-10-20 Published:2004-10-20
  • Supported by:

    This work is supported by NNSF of China(10271023) and Hunan Provincial Natural Science Foundation of China(04JJ3072).

Abstract:

In this paper versal unfolding theorem of multiparameter equivariant bifurca-tion problem with parameter symmetry is given. The necessary and sufficient condition that unfolding of multiparameter equivariant bifurcation problem with parameter symme-try factors through another is given. The corresponding results in [1]-[6] are generalized.

Key words: Equivariant bifurcation problem K(??,)-equivalence

CLC Number: 

  • 58C27
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