数学物理学报(英文版) ›› 2004, Vol. 24 ›› Issue (4): 623-632.

• 论文 • 上一篇    下一篇

THE UNFOLDING OF EQUIVARIANT BIFURCATION PROBLEMS WITH PARAMETERS SYMMETRY

高守平|李养成   

  1. Department of Mathematics, XiangNan University, Chenzhou 423000, China Department of Applied Mathematics, Central South University, Changsha 410083, China
  • 出版日期:2004-10-20 发布日期:2004-10-20
  • 基金资助:

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

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).

摘要:

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.

关键词: Equivariant bifurcation problem K(??,)-equivalence

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

中图分类号: 

  • 58C27