Quadratic vector fields with a weak focus of third order.

Artés, Joan C., and Llibre, Jaume. "Quadratic vector fields with a weak focus of third order.." Publicacions Matemàtiques 41.1 (1997): 7-39. <http://eudml.org/doc/41291>.

@article{Artés1997,
abstract = {We study phase portraits of quadratic vector fields with a weak focus of third order at the origin. We show numerically the existence of at least 20 different global phase portraits for such vector fields coming from exactly 16 different local phase portraits available for these vector fields. Among these 20 phase portraits, 17 have no limit cycles and three have at least one limit cycle.},
author = {Artés, Joan C., Llibre, Jaume},
journal = {Publicacions Matemàtiques},
keywords = {Formas cuadráticas; Campos vectoriales; Sistemas diferenciales; Ecuaciones en derivadas parciales no lineales; Puntos críticos; limit cycle; local phase portraits; Poincaré disc; quadratic vector fields; weak focus; bifurcation diagram},
language = {eng},
number = {1},
pages = {7-39},
title = {Quadratic vector fields with a weak focus of third order.},
url = {http://eudml.org/doc/41291},
volume = {41},
year = {1997},
}

TY - JOUR
AU - Artés, Joan C.
AU - Llibre, Jaume
TI - Quadratic vector fields with a weak focus of third order.
JO - Publicacions Matemàtiques
PY - 1997
VL - 41
IS - 1
SP - 7
EP - 39
AB - We study phase portraits of quadratic vector fields with a weak focus of third order at the origin. We show numerically the existence of at least 20 different global phase portraits for such vector fields coming from exactly 16 different local phase portraits available for these vector fields. Among these 20 phase portraits, 17 have no limit cycles and three have at least one limit cycle.
LA - eng
KW - Formas cuadráticas; Campos vectoriales; Sistemas diferenciales; Ecuaciones en derivadas parciales no lineales; Puntos críticos; limit cycle; local phase portraits; Poincaré disc; quadratic vector fields; weak focus; bifurcation diagram
UR - http://eudml.org/doc/41291
ER -