# Codimension 4 singularities on reflectionally symmetryc planar vector fields.

Freddy Dumortier; Santiago Ibáñez

Publicacions Matemàtiques (1999)

- Volume: 43, Issue: 2, page 501-533
- ISSN: 0214-1493

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topDumortier, Freddy, and Ibáñez, Santiago. "Codimension 4 singularities on reflectionally symmetryc planar vector fields.." Publicacions Matemàtiques 43.2 (1999): 501-533. <http://eudml.org/doc/41377>.

@article{Dumortier1999,

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 fiels on R3 whose linear part is invariant under rotations. To get the classification we use normal form theory and the the blowing-up method.},

author = {Dumortier, Freddy, Ibáñez, Santiago},

journal = {Publicacions Matemàtiques},

keywords = {Singularidades; Campos vectoriales; Espacio reflexivo; singularity; symmetry; normal forms; blow-up method},

language = {eng},

number = {2},

pages = {501-533},

title = {Codimension 4 singularities on reflectionally symmetryc planar vector fields.},

url = {http://eudml.org/doc/41377},

volume = {43},

year = {1999},

}

TY - JOUR

AU - Dumortier, Freddy

AU - Ibáñez, Santiago

TI - Codimension 4 singularities on reflectionally symmetryc planar vector fields.

JO - Publicacions Matemàtiques

PY - 1999

VL - 43

IS - 2

SP - 501

EP - 533

AB - 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 fiels on R3 whose linear part is invariant under rotations. To get the classification we use normal form theory and the the blowing-up method.

LA - eng

KW - Singularidades; Campos vectoriales; Espacio reflexivo; singularity; symmetry; normal forms; blow-up method

UR - http://eudml.org/doc/41377

ER -