Crossing periodic orbits via first integrals

We characterize the families of periodic orbits of two discontinuous piecewise differential systems in R3 separated by a plane using their first integrals. One of these discontinuous piecewise differential systems is formed by linear differential systems, and the other by nonlinear differential syst...

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Detalles Bibliográficos
Autores: Llibre, Jaume|||0000-0002-9511-5999, Tonon, Durval José|||0000-0002-2733-1825, Velter, Mariana Queiroz
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:236647
Acceso en línea:https://ddd.uab.cat/record/236647
https://dx.doi.org/urn:doi:10.1142/S0218127420501631
Access Level:acceso abierto
Palabra clave:Discontinuous piecewise differential systems
First integrals
Periodic orbits
Homoclinic orbits
Descripción
Sumario:We characterize the families of periodic orbits of two discontinuous piecewise differential systems in R3 separated by a plane using their first integrals. One of these discontinuous piecewise differential systems is formed by linear differential systems, and the other by nonlinear differential systems.