Limit cycles for discontinuous planar piecewise linear differential systems separated by an algebraic curve

We study how to change the maximum number of limit cycles of the discontinuous piecewise linear differential systems with only two pieces in function of the degree of the discontinuity of the algebraic curve between the two linear differential systems. These discontinuous differential systems appear...

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Detalhes bibliográficos
Autores: Llibre, Jaume|||0000-0002-9511-5999, Zhang, Xiang|||0000-0001-5194-4077
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:204393
Acesso em linha:https://ddd.uab.cat/record/204393
https://dx.doi.org/urn:doi:10.1142/S0218127419500172
Access Level:acceso abierto
Palavra-chave:Limit cycle
Discontinuous piecewise linear differential systems
Discontinuity with an algebraic curve
Descrição
Resumo:We study how to change the maximum number of limit cycles of the discontinuous piecewise linear differential systems with only two pieces in function of the degree of the discontinuity of the algebraic curve between the two linear differential systems. These discontinuous differential systems appear frequently in applied sciences.