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UNFOLDING OF MULTIPARAMETER EQUIVARIANT BIFURCATION PROBLEMS WITH TWO GROUPS OF STATE VARIABLES UNDER LEFT-RIGHT EQUIVALENT GROUP

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【Author】 GUO Rui_zhi 1,2 , LI Yang_cheng 1(1.School of Mathematics and Computing Technology, Central South University,Changsha 410083, P.R.China;2.College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, P.R.China)(Communicated by GUO Xing_ming)

【机构】 School of Mathematics and Computing Technology, Central South University,School of Mathematics and Computing Technology, Central South University Changsha 410083, P.R.China； College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, P.R.China,Changsha 410083, P.R.China；

【Abstract】 Based on the left_right equivalent relation of smooth map_germs in singularity theory, the unfoldings of multiparameter equivariant bifurcation problems with respect to left_right equivalence are discussed. The state variables of such an equivariant bifurcation problem were divided into two groups, in which the first can vary independently, while the others depend on the first in the varying process. By applying related methods and techniques in the unfolding theory of smooth map_germs, the necessary and sufficient condition for an unfolding of a multiparameter equivariant bifurcation problem with two groups of state variables to be versal is obtained.更多还原

【关键词】 equivariant bifurcation； left_right equivalent group； unfolding；
【Key words】 equivariant bifurcation； left_right equivalent group； unfolding；

【基金】 ProjectsupportedbytheNationalNaturalScienceFoundationofChina(No.10271023);theNatu ralScienceFoundationofHunanProvinceofChina(No.04JJ3072)andtheScienceFoundationof HunanProvinceGovernmentofEducation(No.04C383)

【文献出处】 Applied Mathematics and Mechanics(English Edition) ,应用数学和力学(英文版) , 编辑部邮箱 ,2005年04期

【分类号】O177.91
【被引频次】10
【下载频次】14

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