Codimension 4 singularities on reflectionally symmetryc planar vector fields.

Dumortier, 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 -