Canard cycles with three breaking mechanisms

This article deals with relaxation oscillations from a generic balanced canard cycle Γ subject to three breaking parameters of Hopf or jump type. We prove that in a rescaled layer of Γ there bifurcate at most five relaxation oscillations.

Detalles Bibliográficos
Autores: Caubergh, Magdalena|||0000-0001-7358-2839, Roussarie, Robert
Tipo de recurso: capítulo de libro
Fecha de publicación:2016
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:221040
Acceso en línea:https://ddd.uab.cat/record/221040
https://dx.doi.org/urn:doi:10.1007/978-3-319-31323-8_4
Access Level:acceso abierto
Palabra clave:Balanced
N-multi-layer canard cycle
Breaking parameter
Rescaled layer
Cyclicity
Bifurcating limit cycle
Relaxation oscillations
Descripción
Sumario:This article deals with relaxation oscillations from a generic balanced canard cycle Γ subject to three breaking parameters of Hopf or jump type. We prove that in a rescaled layer of Γ there bifurcate at most five relaxation oscillations.