Articles

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

  • Li Yangcheng ,
  • He Wei
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  • School of Mathematical Science and Computing Technology, Central South University, Changsha 410083, China

Received date: 2005-12-28

  Revised date: 1900-01-01

  Online published: 2008-10-20

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.

Cite this article

Li Yangcheng , He Wei . VERSAL UNFOLDING OF EQUIVARIANT BIFURCATION PROBLEMS IN MORE GENERAL CASE UNDER TWO EQUIVALENT GROUPS[J]. Acta mathematica scientia, Series B, 2008 , 28(4) : 915 -923 . DOI: 10.1016/S0252-9602(08)60091-0

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