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
Année de publication: 1999
Volumen: 43
Número: 2
Pages: 501-533
Type: Article
D'autres publications dans: Publicacions matematiques
Résumé
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.