Canard Cycles with Three Breaking Mechanisms

Affiliation auteursAffiliation ok
TitreCanard Cycles with Three Breaking Mechanisms
Type de publicationBook Chapter
Year of Publication2016
AuteursCaubergh M, Roussarie R
EditorToni B
Book TitleMATHEMATICAL SCIENCES WITH MULTIDISCIPLINARY APPLICATIONS: IN HONOR OF PROFESSOR CHRISTIANE ROUSSEAU. AND IN RECOGNITION OF THE MATHEMATICS FOR PLANET EARTH INITIATIVE
Series TitleSpringer Proceedings in Mathematics & Statistics
Volume157
Pagination61-77
PublisherSPRINGER
City233 SPRING STREET, NEW YORK, NY 10013, UNITED STATES
ISBN Number978-3-319-31323-8; 978-3-319-31321-4
ISBN2194-1009
Mots-clésBalanced, Bifurcating limit cycle, Breaking parameter, Cyclicity, n-multi-layer canard cycle, Relaxation oscillations, Rescaled layer
Résumé

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

DOI10.1007/978-3-319-31323-8_4