Phase portraits of planar piecewise linear refracting systems

This paper deals with planar piecewise linear refracting systems with a straight line of separation. Using the Poincaré compactification, we provide the classification of the phase portraits in the Poincaré disc of piecewise linear refracting systems with focus-saddle dynamics.

Detalhes bibliográficos
Autores: Li, Shimin|||0000-0003-1695-0097, Llibre, Jaume|||0000-0002-9511-5999
Formato: artículo
Fecha de publicación:2020
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:228107
Acesso em linha:https://ddd.uab.cat/record/228107
https://dx.doi.org/urn:doi:10.1016/j.nonrwa.2020.103153
Access Level:acceso abierto
Palavra-chave:Phase portraits
Refracting systems
Limit cycle
Descrição
Resumo:This paper deals with planar piecewise linear refracting systems with a straight line of separation. Using the Poincaré compactification, we provide the classification of the phase portraits in the Poincaré disc of piecewise linear refracting systems with focus-saddle dynamics.