Quadratic vector fields with a weak focus of third order

Autores: Joan Carles Artés Ferragud , Jaume Llibre
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 41, Nº 1, 1997 (Ejemplar dedicado a: Proceedings of the Symposium on Planar Vector Fields), págs. 7-39
Idioma: inglés
DOI: 10.5565/publmat_41197_02
Títulos paralelos:
- Campos vectoriales cuadráticos con un foco débil de tercer orden
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Resumen
- 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.