Codimension 4 singularities of reflectionally symmetric planar vector fields
- Ibáñez Mesa, Santiago Francisco 1
- Dumortier, Freddy
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1
Universidad de Oviedo
info
ISSN: 0214-1493
Year of publication: 1999
Volume: 43
Issue: 2
Pages: 501-533
Type: Article
More publications in: Publicacions matematiques
Abstract
The paper deals with the topological classification of singularities of vector fields on the plane which are invariant under reflection with respect to a line. As it has been proved in previous papers, such a classification is necessary to determine the different topological types of singularities of vector fields on ${\mathbb R}^3$ whose linear part is invariant under rotations. To get the classification we use normal form theory and the blowing-up method.