Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/49361
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dc.contributor.authorDE MAESSCHALCK, Peter-
dc.contributor.authorDUMORTIER, Freddy-
dc.contributor.authorRoussarie, Robert-
dc.date.accessioned2026-06-22T05:54:24Z-
dc.date.available2026-06-22T05:54:24Z-
dc.date.issued2025-
dc.date.submitted2026-06-22T05:51:21Z-
dc.identifier.citationNonlinearity, 38 (5) (Art N° 055015)-
dc.identifier.urihttp://hdl.handle.net/1942/49361-
dc.description.abstractThe paper deals with two-dimensional 2-layer canard cycles, extending the results of Dumortier and Roussarie (2007 Discrete Contin. Dyn. Syst. 17 787-806) and continuing the approach started in De Maesschalck et al (2023 Regul. Chaotic Dyn. 28 763-80). We provide precise results on the number and the bifurcations of the limit cycles that can be created from the canard cycles, confirming that both the type of the layers and the nature of the connections between the layers make a difference. We also prove an upper bound on the cyclicity of a large class of two-dimensional 2-layer canard cycles.-
dc.description.sponsorshipPDM was sponsored by FWO Grant G0F1822N. We would like to thank the anonymous reviewers, whose input was beneficial for the presentation of the paper.-
dc.language.isoen-
dc.publisherIOP Publishing Ltd-
dc.rights2025 IOP Publishing Ltd & London Mathematical Society. All rights, including for text and data mining, AI training, and similar technologies, are reserved.-
dc.subject.other2-layer canard cycles-
dc.subject.otherbifurcations-
dc.subject.othercyclicity-
dc.titleA systematic study of two-dimensional 2-layer canard cycles-
dc.typeJournal Contribution-
dc.identifier.issue5-
dc.identifier.volume38-
local.bibliographicCitation.jcatA1-
local.publisher.placeNo.2 The Distillery, Glassfields, Avon Street, Bristol BS2 0GR, ENGLAND-
local.type.refereedRefereed-
local.type.specifiedArticle-
local.bibliographicCitation.artnr055015-
dc.identifier.doi10.1088/1361-6544/adc96a-
dc.identifier.isi001472573400001-
dc.identifier.eissn1361-6544-
local.provider.typeWeb of Science-
local.uhasselt.internationalyes-
item.fulltextWith Fulltext-
item.accessRightsRestricted Access-
item.contributorDE MAESSCHALCK, Peter-
item.contributorDUMORTIER, Freddy-
item.contributorRoussarie, Robert-
item.fullcitationDE MAESSCHALCK, Peter; DUMORTIER, Freddy & Roussarie, Robert (2025) A systematic study of two-dimensional 2-layer canard cycles. In: Nonlinearity, 38 (5) (Art N° 055015).-
crisitem.journal.issn0951-7715-
crisitem.journal.eissn1361-6544-
Appears in Collections:Research publications
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