数学物理学报(英文版)

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VERSAL UNFOLDING OF EQUIVARIANT BIFURCATION PROBLEMS IN MORE GENERAL CASE UNDER TWO EQUIVALENT GROUPS

李养成; 何伟   

  1. 中南大学数学与计算学院, 长沙 410083
  • 收稿日期:2005-12-28 修回日期:1900-01-01 出版日期:2008-10-20 发布日期:2008-10-20
  • 通讯作者: 李养成
  • 基金资助:

    This work is supported by NNSF of China (10671002)

VERSAL UNFOLDING OF EQUIVARIANT BIFURCATION PROBLEMS IN MORE GENERAL CASE UNDER TWO EQUIVALENT GROUPS

Li Yangcheng; He Wei   

  1. School of Mathematical Science and Computing Technology, Central South University, Changsha 410083, China
  • Received:2005-12-28 Revised:1900-01-01 Online:2008-10-20 Published:2008-10-20
  • Contact: Li Yangcheng

摘要:

For the unfolding of equivariant bifurcation problems with two types of state
variables in the presence of parameter symmetry, the versal unfolding theorem with respect to left-right equivalence is obtained by using the related methods and techniques in the singularity theory of smooth map-germs. The corresponding results in [4, 9] can be considered as its special cases. A relationship between the versal unfolding w.r.t. left-right equivalence and the
versal deformation w.r.t. contact equivalence is established.

关键词: Equivariant bifurcation problem, unfolding, left-right equivalence, contact equivalence

Abstract:

For the unfolding of equivariant bifurcation problems with two types of state
variables in the presence of parameter symmetry, the versal unfolding theorem with respect to left-right equivalence is obtained by using the related methods and techniques in the singularity theory of smooth map-germs. The corresponding results in [4, 9] can be considered as its special cases. A relationship between the versal unfolding w.r.t. left-right equivalence and the
versal deformation w.r.t. contact equivalence is established.

Key words: Equivariant bifurcation problem, unfolding, left-right equivalence, contact equivalence

中图分类号: 

  • 58K25