Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/41859
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dc.contributor.authorDE MAESSCHALCK, Peter-
dc.contributor.authorDUMORTIER, Freddy-
dc.contributor.authorRoussarie, Robert-
dc.date.accessioned2023-11-21T09:40:17Z-
dc.date.available2023-11-21T09:40:17Z-
dc.date.issued2023-
dc.date.submitted2023-11-20T13:52:39Z-
dc.identifier.citationREGULAR & CHAOTIC DYNAMICS, 28 (4) , p. 763 -780-
dc.identifier.urihttp://hdl.handle.net/1942/41859-
dc.description.abstractThe paper deals with multi-layer canard cycles, extending the results of [1]. As a practical tool we introduce the connection diagram of a canard cycle and we show how to determine it in an easy way. This connection diagram presents in a clear way all available information that is necessary to formulate the main system of equations used in the study of the bifurcating limit cycles. In a forthcoming paper we will show that both the type of the layers and the nature of the connections between the layers play an essential role in determining the number and the bifurcations of the limit cycles that can be created from a canard cycle.-
dc.description.sponsorshipWe thank the anonymous referees for their detailed remarks and suggestions, which helped us in improving the presentation of this article.-
dc.language.isoen-
dc.publisherPLEIADES PUBLISHING INC-
dc.rightsPleiades Publishing, Ltd., 2023-
dc.subject.othermulti-layer canard cycles-
dc.subject.othermulti-layer canard cycles-
dc.subject.otherorientation of SF and FS passages-
dc.subject.otherorientation of SF and F S passages-
dc.subject.otherside-comparison at a canard connection-
dc.subject.otherside-comparison at a canard connection-
dc.subject.otherconnection diagram-
dc.subject.otherconnection diagram-
dc.subject.otherequations for limit cycles-
dc.subject.otherequations for limit cycles-
dc.titleSide-Comparison for Transition Maps in Multi-Layer Canard Problems-
dc.typeJournal Contribution-
dc.identifier.epage780-
dc.identifier.issue4-
dc.identifier.spage763-
dc.identifier.volume28-
local.format.pages18-
local.bibliographicCitation.jcatA1-
dc.description.notesMaesschalck, PD (corresponding author), Hasselt Univ, Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium.-
dc.description.notespeter.demaesschalck@uhasselt.be; freddy.dumortier@uhasselt.be;-
dc.description.notesrobert.roussarie@u-bourgogne.fr-
local.publisher.placePLEIADES HOUSE, 7 W 54 ST, NEW YORK, NY, UNITED STATES-
local.type.refereedRefereed-
local.type.specifiedArticle-
dc.identifier.doi10.1134/S1560354723040159-
dc.identifier.isi001087501700021-
local.provider.typewosris-
local.description.affiliation[Maesschalck, Peter De; Dumortier, Freddy] Hasselt Univ, Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium.-
local.description.affiliation[Roussarie, Robert] Univ Bourgogne, Inst Math Bourgogne, BP 47 870, F-21078 Dijon, France.-
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 (2023) Side-Comparison for Transition Maps in Multi-Layer Canard Problems. In: REGULAR & CHAOTIC DYNAMICS, 28 (4) , p. 763 -780.-
crisitem.journal.issn1560-3547-
crisitem.journal.eissn1468-4845-
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