Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/18950
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dc.contributor.authorDE MAESSCHALCK, Peter-
dc.date.accessioned2015-06-12T09:59:56Z-
dc.date.available2015-06-12T09:59:56Z-
dc.date.issued2015-
dc.identifier.citationACTA APPLICANDAE MATHEMATICAE, 137 (1), p. 159-184-
dc.identifier.issn0167-8019-
dc.identifier.urihttp://hdl.handle.net/1942/18950-
dc.description.abstractWe review essential techniques in the study of families of periodic orbits of slow-fast systems in the plane. The techniques are demonstrated by treating orbits passing through unfoldings of transcritical intersections of curves of singular points in the most generic setting. We show that such transcritical intersections can generate canard type orbits. The stability of limit cycles of canard type containing that pass near transcritical intersections is examined by means of the slow divergence integral.-
dc.description.sponsorshipThe author thanks the anonymous reviewers for their many useful remarks and suggestions. The author acknowledges support from FWO Vlaanderen.-
dc.language.isoen-
dc.publisherSPRINGER-
dc.rights© Springer Science+Business Media Dordrecht 2014-
dc.subject.otherslow-fast systems; slow divergence integral; canards; singular perturbations; transcritical intersection-
dc.subject.otherSlow-fast systems; Slow divergence integral; Canards; Singular perturbations; Transcritical intersection-
dc.titlePlanar Canards with Transcritical Intersections-
dc.typeJournal Contribution-
dc.identifier.epage184-
dc.identifier.issue1-
dc.identifier.spage159-
dc.identifier.volume137-
local.format.pages26-
local.bibliographicCitation.jcatA1-
dc.description.notesHasselt Univ, B-3500 Hasselt, Belgium.-
local.publisher.placeDORDRECHT-
local.type.refereedRefereed-
local.type.specifiedArticle-
dc.identifier.doi10.1007/s10440-014-9994-9-
dc.identifier.isi000354120100009-
item.contributorDE MAESSCHALCK, Peter-
item.fullcitationDE MAESSCHALCK, Peter (2015) Planar Canards with Transcritical Intersections. In: ACTA APPLICANDAE MATHEMATICAE, 137 (1), p. 159-184.-
item.accessRightsClosed Access-
item.fulltextWith Fulltext-
item.validationecoom 2016-
crisitem.journal.issn0167-8019-
crisitem.journal.eissn1572-9036-
Appears in Collections:Research publications
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