Dynamics of the Painlevé-Ince Equation

The Painlevé-Ince differential equation y+ 3 yy+ y= 0 has been studied from many points of view. Here we complete its study providing its phase portrait in the Poincaré disc.

Detalhes bibliográficos
Autor: Llibre, Jaume|||0000-0002-9511-5999
Tipo de documento: artigo
Data de publicação:2023
País:España
Recursos:Universitat Autònoma de Barcelona
Repositório:Dipòsit Digital de Documents de la UAB
Idioma:inglês
OAI Identifier:oai:ddd.uab.cat:299752
Acesso em linha:https://ddd.uab.cat/record/299752
https://dx.doi.org/urn:doi:10.1007/s00025-022-01783-5
Access Level:Acceso aberto
Palavra-chave:Painlevé-Ince equation
Poincaré disc
Phase portrait
First integral
Descrição
Resumo:The Painlevé-Ince differential equation y+ 3 yy+ y= 0 has been studied from many points of view. Here we complete its study providing its phase portrait in the Poincaré disc.