Phase portraits of integrable quadratic systems with an invariant parabola and an invariant straight line

We classify the phase portraits of the quadratic polynomial differential systems having an invariant parabola, an invariant straight line, and a Darboux first integral produced by these two invariant curves.

Detalhes bibliográficos
Autores: Llibre, Jaume|||0000-0002-9511-5999, Fronza da Silva, Maurício
Formato: artículo
Fecha de publicación:2019
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:221370
Acesso em linha:https://ddd.uab.cat/record/221370
https://dx.doi.org/urn:doi:10.1016/j.crma.2018.12.008
Access Level:acceso abierto
Palavra-chave:Quadratic system
Phase portraits
Invariant parabola
Invariant straight line
Descrição
Resumo:We classify the phase portraits of the quadratic polynomial differential systems having an invariant parabola, an invariant straight line, and a Darboux first integral produced by these two invariant curves.