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
Any de publicació: 1999
Volum: 43
Número: 2
Pàgines: 501-533
Tipus: Article
Altres publicacions en: Publicacions matematiques
Resum
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.