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《Journal of Yunnan Normal University(Natural Sciences Edition)》 2008-01
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Versal Unfolding of Equivariant Bifurcation Problems with Two Types of State Variables under a Subgroup of A(Γ)

CHEN Qing-e1,Shi En-wei2,Zhu Si-chao3(1.Tianshui Teacher's college,Tianshui 741001,China;2.Department of Mathematics,Yunnan Normal University,Kunming 650092,China;3.Meteorological Department of Tianshui,Tianshui 741000,China)  
Based on the left-right equivalent relation of smooth map-germs in slgularity theory,the neessary and sufficient condition for unfolding of equivariant bifurcation problem with two types of state variables under a subgroup A1(Γ) of left-right equivalent group to be versal unfolding are studied.
【Fund】: 云南省教育厅基金资助项目(07c11666)
【CateGory Index】: O189
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【References】
Chinese Journal Full-text Database 1 Hits
1 MA Ai-ping1,SHI En-wei2(1.Department of Mathematics,Dehong Teachers College,Luxi 678400,China;2.School of Mathematics,Yunnan Normal University,Kunming 650092,China);The Universal Unfolding of Equivariant Sequential Bifurcation Problem in Respect to Right Equivalent Group[J];云南民族大学学报(自然科学版);2010-06
【Citations】
Chinese Journal Full-text Database 4 Hits
1 GUO Rui-zhi~(1,2),CUI Deng-lan~(1,2) (1.Department of Mathematics, Mathematics and Computer Science College, Hunan Normal University, Changsha 410081, China; 2.School of Mathematics and Computing Technology, Central South University, Changsha 410083,China);On The Versal Unfolding of Multiparameter Equivariant Bifurcation Problems under a Subgroup of A(Г)[J];湖南师范大学自然科学学报;2004-03
2 GAO Shouping LI Yangcheng Department of Applied Mathematics, Tongji University, Shanghai 200092, China. E-mail: gaoshoup@263.net Department of Applied Mathematics, Central South University, Changsha 410083, China. E-mail: liyangcheng@sohu.com;THE UNFOLDING OF MULTIPARAMETER EQUIVARIANT BIFURCATION PROBLEMS WITH RESPECT TO LEFT-RIGHT EQUIVALENCE[J];数学年刊A辑(中文版);2003-03
3 Hu Fannu Li Yangcheng (Department of Mathematics,Hunan Normal University,Changsha,410081);Versal Unfolding of Equivariant Bifurcation Problems with Two Types of State Variables[J];数学理论与应用;2000-03
4 Cul Denglan; Li Yangcheng(Department of Mathematics,Hunan Normal University,Changsha, 410081);Some of Finitely Generated Modules in Equivariant Singularity Theory[J];湖南师范大学自然科学学报;1996-04
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 GUO Rui-zhi,CHEN Da (College of Mathematics and Computer Scicence,Hunan Normal University,Changsha 410081,China);The versal deformation and finite determinacy of invariant function germs[J];高校应用数学学报A辑;2013-03
2 LI Jun,CHEN Yu-shu(School of Astronautics,Harbin Institute of Technology, P.O.Box 137,Harbin 150001,P.R.China);Transition Sets of Bifurcations of Dynamical System With Two State Variables With Constraints[J];应用数学和力学;2012-02
3 Jun LI , Yu-shu CHEN (School of Astronautics, Harbin Institute of Technology, P. O. Box 137, Harbin 150001, P. R. China);Transition sets of bifurcations of dynamical systems with two statevariables with constraints[J];Applied Mathematics and Mechanics(English Edition);2012-02
4 ZHOU Wei-feng1,3,XIANG Hua2,CHEN Zi-jiao(1.Department of Mathematics,Chuxiong Normal University,Chuxiong 675000,China; 2.Department of Political Science and Public Administration,Chuxiong Normal University,Chuxiong 675000,China; 3.College of Mathematics and Econometrics,Hunan University,Changsha 410082,China);Some Properties of the Local Equivalent Sequential Bifurcation with Finite Codimention[J];云南民族大学学报(自然科学版);2011-06
5 CHEN Qing-e1,ZHU En-chao2,LIU Yue-li1(1.School of Mathematics and Statistics,Tianshui Normal University,Tianshui 741001,Gansu,China;2.Meteorological Department of Tianshui,Tianshui 741000,Gansu,China);Invariance of Universal Unfolding of Equivariant Bifurcation Problems with Parameters Symmetry under(Γ,Δ)-Equivariance[J];河北北方学院学报(自然科学版);2011-03
6 MA Ai-ping1,SHI En-wei2(1.Department of Mathematics,Dehong Teachers College,Luxi 678400,China;2.School of Mathematics,Yunnan Normal University,Kunming 650092,China);The Universal Unfolding of Equivariant Sequential Bifurcation Problem in Respect to Right Equivalent Group[J];云南民族大学学报(自然科学版);2010-06
7 LIU Rui-juan,SHI En-wei(Department of Mathematics,Yunnan Normal University,Kunming 650092,China);Discussion and Research of Equivariant Bifurcation Problem with Generalized Symmetry[J];四川理工学院学报(自然科学版);2009-05
8 GUO Rui-zhi1,REN Yao-qing1,WAN Yong2,TANG Zhao-yi1(1.College of Mathematics and Computer Science,Hunan Normal University,Changsha 410081,China;2.College of Mathematics and Computing Science,Changsha University ofScience & Technology,Changsha 410076,China);The stability of equivariant bifurcation problems with parameters symmetry and their unfoldings[J];长沙交通学院学报;2008-04
9 LIU Rui-juan,SHI En-wei(Department of Mathematics,Yunnan Normal University,Kunming 650092,China);Stability of Unfolding of Equivariant Bifurcation Problems with n Types of State Variables[J];四川理工学院学报(自然科学版);2008-06
10 Li YangchengHe WeiSchool of Mathematical Science and Computing Technology, Central South University,Changsha 410083,China;VERSAL UNFOLDING OF EQUIVARIANT BIFURCATION PROBLEMS IN MORE GENERAL CASE UNDER TWO EQUIVALENT GROUPS[J];Acta Mathematica Scientia;2008-04
【Co-references】
Chinese Journal Full-text Database 4 Hits
1 CHEN Qing-e1,Shi En-wei2,Zhu Si-chao3(1.Tianshui Teacher's college,Tianshui 741001,China;2.Department of Mathematics,Yunnan Normal University,Kunming 650092,China;3.Meteorological Department of Tianshui,Tianshui 741000,China);Versal Unfolding of Equivariant Bifurcation Problems with Two Types of State Variables under a Subgroup of A(Γ)[J];云南师范大学学报(自然科学版);2008-01
2 GUO Rui-zhi~(1,2),LI Yang-cheng~2(1.College of Mathematics and Computer Science, Hunan Normal Univ,Changsha,Hunan 410081,China;2.School of Mathematics and Computing Technology,Central South Univ,Changsha,Hunan 410083,China);Unfoldings of Equivariant Bifurcation Problems with Parameter Symmetry under a Left-Right Equivalent Group[J];湖南大学学报(自然科学版);2007-01
3 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);Unfolding of Multiparameter Equivariant Bifurcation Problems With Two Groups of State Variables Under Left-Right Equivalent Group[J];应用数学和力学;2005-04
4 GUO Rui-zhi~(1,2),CUI Deng-lan~(1,2) (1.Department of Mathematics, Mathematics and Computer Science College, Hunan Normal University, Changsha 410081, China; 2.School of Mathematics and Computing Technology, Central South University, Changsha 410083,China);On The Versal Unfolding of Multiparameter Equivariant Bifurcation Problems under a Subgroup of A(Г)[J];湖南师范大学自然科学学报;2004-03
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Chinese Journal Full-text Database 6 Hits
1 GAO Shouping LI Yangcheng Department of Applied Mathematics, Tongji University, Shanghai 200092, China. E-mail: gaoshoup@263.net Department of Applied Mathematics, Central South University, Changsha 410083, China. E-mail: liyangcheng@sohu.com;THE UNFOLDING OF MULTIPARAMETER EQUIVARIANT BIFURCATION PROBLEMS WITH RESPECT TO LEFT-RIGHT EQUIVALENCE[J];数学年刊A辑(中文版);2003-03
2 Hu Fannu Li Yangcheng (Department of Mathematics,Hunan Normal University,Changsha,410081);Versal Unfolding of Equivariant Bifurcation Problems with Two Types of State Variables[J];数学理论与应用;2000-03
3 Li Yangcheng(Department of Mathematics, Hunan Normal University, Changsha 410081, P. R. China)Zou Jiancheng(College of Fundamental and Science, North China UniveTsity of Technology,Beijing 100041, P. R. China);Universal Unfolding of Equivariant Bifurcation Problems with Multiparameter[J];数学学报;1999-06
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6 Cul Denglan; Li Yangcheng(Department of Mathematics,Hunan Normal University,Changsha, 410081);Some of Finitely Generated Modules in Equivariant Singularity Theory[J];湖南师范大学自然科学学报;1996-04
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