Recognition and classification for \(O(n)\)-equivalent bifurcations with \(O(n)\)-codimension less than or equal to 5. (English) Zbl 1408.58029
Summary: We investigate the equivalent singularity theory of bifurcation problem under the standard action of the orthogonal group \(O(n)\). The \(O(n)\)-codimension which is less than or equal to 5 is classified into 27 classes. For each class the normal form and one universal unfolding are calculated and the recognition problems are solved.
MSC:
| 58K70 | Symmetries, equivariance on manifolds |
| 58K50 | Normal forms on manifolds |
| 37G05 | Normal forms for dynamical systems |
