Criteria for the nonexistence of periodic orbits in planar differential systems

In this work we summarize some well-known criteria for the nonexistence of periodic orbits in planar differential systems. Additionally we present two new criteria and illustrate with examples these criteria.

Detalhes bibliográficos
Autores: Giné, Jaume|||0000-0001-7109-2553, Llibre, Jaume|||0000-0002-9511-5999
Formato: artículo
Fecha de publicación:2023
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:299733
Acesso em linha:https://ddd.uab.cat/record/299733
https://dx.doi.org/urn:doi:10.56415/basm.y2023.i1.p3
Access Level:acceso abierto
Palavra-chave:Periodic orbits
Bendixson
Dulac
Liénard equation
Angular velocity
Planar differential systems
Descrição
Resumo:In this work we summarize some well-known criteria for the nonexistence of periodic orbits in planar differential systems. Additionally we present two new criteria and illustrate with examples these criteria.