On the centers of cubic polynomial differential systems with four invariant straight lines

Assume that a cubic polynomial differential system in the plane has four invariant straight lines in generic position, i.e. they are not parallel and no more than two straight lines intersect in a point. Then such a differential system only can have 0, 1 or 3 centers.

Detalles Bibliográficos
Autor: Llibre, Jaume|||0000-0002-9511-5999
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:232534
Acceso en línea:https://ddd.uab.cat/record/232534
https://dx.doi.org/urn:doi:10.12775/TMNA.2020.004
Access Level:acceso abierto
Palabra clave:Cubic system
Cubic polynomial differential systems
Centers
Invariant straight line
Descripción
Sumario:Assume that a cubic polynomial differential system in the plane has four invariant straight lines in generic position, i.e. they are not parallel and no more than two straight lines intersect in a point. Then such a differential system only can have 0, 1 or 3 centers.