Codimension 4 singularities of reflectionally symmetric planar vector fields

  1. Ibáñez Mesa, Santiago Francisco 1
  2. Dumortier, Freddy
  1. 1 Universidad de Oviedo
    info

    Universidad de Oviedo

    Oviedo, España

    ROR https://ror.org/006gksa02

Revista:
Publicacions matematiques

ISSN: 0214-1493

Año de publicación: 1999

Volumen: 43

Número: 2

Páginas: 501-533

Tipo: Artículo

DOI: 10.5565/PUBLMAT_43299_04 DIALNET GOOGLE SCHOLAR lock_openDDD editor

Otras publicaciones en: Publicacions matematiques

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.

Fuente de los datos: Dialnet