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

作　　者：李养成 何伟 

机构地区：[1]School of Mathematical Science and Computing Technology,Central South University

出　　处：《Acta Mathematica Scientia》2008年第4期915-923,共9页数学物理学报（B辑英文版）

基　　金：NNSF of China(10671002)

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.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 

分 类 号：O177.91[理学—数学]