| RECOGNITION AND CLASSIFICATION FOR O（n）-EQUIVARIANT BIFURCATIONS WITH O（n）-CODIMENSION LESS THAN 5 |
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| 作者姓名： | Wang Xiaofeng Tang Yun Wang Duo |
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| 作者单位： | WANG XIAOFENG;(Department of Applied Mathematics，Tsinghua University，Beijing 100084，China.)TANG YUN;(Department of Applied Mathematics，Tsinghua University，Beijing 100084，China.)WANG DUO ;(School of Mathematical Science，Peking Universityl Beliing 10 |
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| 摘 要： | 1.IntroductionInthispaperweinvestigatelocalbifurcationsequivariantunderthestandardactionoftheorthogonalgroupO(n)onR".Oneofthemotiwtionstostudysuchproblemsisthatmanyphysicalsystemspossessthesphericalsymmetry,forexample,inthestudyofbucklingofaplanardiskofasphericalshell.Anothermotivationcomesfromsomemathematicalrequirement,forexample,thestudyofdegenerateHopfbifurcations(see2,61).MostoftheseproblemscanbereducedtothestudyofthelocalbifurcationdiagramsofO(n)equivarialltbifUIcationproblems.Afunda…
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| 关 键 词： | O（n）-等变量分支 普通形式 通用非卷积 识别问题 直交群 |
| 收稿时间： | 1996/12/27 0:00:00 |
RECOGNITION AND CLASSIFICATION FOR O(n)-EQUIVARIANT BIFURCATIONS WITH O(n)-CODIMENSION LESS THAN 5 |
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| Wang Xiaofeng,Tang Yun,Wang Duo.RECOGNITION AND CLASSIFICATION FOR O(n)-EQUIVARIANT BIFURCATIONS WITH O(n)-CODIMENSION LESS THAN 5[J].Chinese Annals of Mathematics,Series B,1998,19(4):391-400. |
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| Authors: | Wang Xiaofeng Tang Yun and Wang Duo |
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| Institution: | [1]DepartmentofAppliedMathematics,TsinghuaUniversity,Beijing100084,China [2]SchoolofMathematicalScience,PekingUniversity,Beijing100080,China |
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| Abstract: | Bifurcation problems equivariant under the standard action of the orthogonal group O(n) up to O(n)-codimension 4 are classified into 19 classes. For each class the normal form and one universal unfolding are calculated and the recognition problem is solved. |
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| Keywords: | O(n)-equivariant bifurcation Normal form Universal unfolding Recognition problem |
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