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RECOGNITION AND CLASSIFICATION FOR O(n)-EQUIVARIANT BIFURCATIONS WITH O(n)-CODIMENSION LESS THAN 5 被引量:3

RECOGNITION AND CLASSIFICATION FOR O(n)-EQUIVARIANT BIFURCATIONS WITH O(n)-CODIMENSION LESS THAN 5
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摘要 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. 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.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1998年第4期391-400,共10页 数学年刊(B辑英文版)
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 O(n)-equivariant bifurcation, Normal form, Universal unfolding, Recognition problem
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