Recognition and classification for O(n)-equivariant bifurcations with O(n)-codimension less than 5

Xiaofeng Wang*, Yun Tang, Duo Wang

*Corresponding author for this work

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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.

Original languageEnglish
Pages (from-to)391-400
Number of pages10
JournalChinese Annals of Mathematics. Series B
Issue number4
Publication statusPublished - 1998
Externally publishedYes


  • Normal form
  • O(n)-equivariant bifurcation
  • Recognition problem
  • Universal unfolding

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