Quadratic systems with a unique finite rest point.

Coll, Bartomeu, Gasull, Armengol, and Llibre, Jaume. "Quadratic systems with a unique finite rest point.." Publicacions Matemàtiques 32.2 (1988): 199-259. <http://eudml.org/doc/41057>.

@article{Coll1988,
abstract = {We study phase portraits of quadratic systems with a unique finite singularity. We prove that there are 111 different phase portraits without limit cycles and that 13 of them are realizable with exactly one limit cycle. In order to finish completely our study two problems remain open: the realization of one topologically possible phase portrait, and to determine the exact number of limit cycles for a subclass of these systems.},
author = {Coll, Bartomeu, Gasull, Armengol, Llibre, Jaume},
journal = {Publicacions Matemàtiques},
keywords = {Ecuaciones diferenciales; Ciclos límite; Sistemas; Puntos singulares; phase portraits; plane quadratic systems; limit cycles},
language = {eng},
number = {2},
pages = {199-259},
title = {Quadratic systems with a unique finite rest point.},
url = {http://eudml.org/doc/41057},
volume = {32},
year = {1988},
}

TY - JOUR
AU - Coll, Bartomeu
AU - Gasull, Armengol
AU - Llibre, Jaume
TI - Quadratic systems with a unique finite rest point.
JO - Publicacions Matemàtiques
PY - 1988
VL - 32
IS - 2
SP - 199
EP - 259
AB - We study phase portraits of quadratic systems with a unique finite singularity. We prove that there are 111 different phase portraits without limit cycles and that 13 of them are realizable with exactly one limit cycle. In order to finish completely our study two problems remain open: the realization of one topologically possible phase portrait, and to determine the exact number of limit cycles for a subclass of these systems.
LA - eng
KW - Ecuaciones diferenciales; Ciclos límite; Sistemas; Puntos singulares; phase portraits; plane quadratic systems; limit cycles
UR - http://eudml.org/doc/41057
ER -