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| RECOGNITION AND CLASSIFICATION FOR O(n)-EQUIVARIANT BIFURCATIONS WITH O(n)-CODIMENSION LESS THAN 5 |
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Citation： |
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 B,1998,19(4):391~400 |
| Page view： 984
Net amount： 836 |
Authors： |
Wang Xiaofeng; Tang Yun;Wang Duo |
Foundation： |
the National Natural Science Foundation of China |
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| Abstract： |
Bifurcation problems equivariant under the standard action of the orthogonal group $\bold O(n)$ up to $\bold O(n)$-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. |
Keywords： |
$\bold O(n)$-equivariant bifurcation, Normal form, Universal unfolding,Recognition |
Classification： |
55M10, 58E09 |
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