Codimension 4 singularities of reflectionally symmetric planar vector fields

• Santiago Francisco Ibáñez Mesa ^[1] ; Freddy Dumortier
  1. [1] Universidad de Oviedo

     Universidad de Oviedo

     Oviedo, España

     
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 43, Nº 2, 1999, págs. 501-533
• Idioma: inglés
• DOI: 10.5565/publmat_43299_04
• Títulos paralelos:
  • Singularidades de codimensión 4 en campos de vectores sobre el plano simétricos reflexivos
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• Resumen

  • 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.