Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/11566
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dc.contributor.authorDE MAESSCHALCK, Peter-
dc.contributor.authorDUMORTIER, Freddy-
dc.date.accessioned2011-02-01T12:21:03Z-
dc.date.availableNO_RESTRICTION-
dc.date.available2011-02-01T12:21:03Z-
dc.date.issued2011-
dc.identifier.citationJOURNAL OF DIFFERENTIAL EQUATIONS, 250(2). p. 1000-1025-
dc.identifier.issn0022-0396-
dc.identifier.urihttp://hdl.handle.net/1942/11566-
dc.description.abstractIn this paper we study perturbations from planar vector fields having a line of zeros and representing a singular limit of Bogdanov-Takens (BT) bifurcations. We introduce, among other precise definitions, the notion of slow-fast BT-bifurcation and we provide a complete study of the bifurcation diagram and the related phase portraits. Based on geometric singular perturbation theory, including blow-up, we get results that are valid on a uniform neighborhood both in parameter space and in the phase plane. (C) 2010 Elsevier Inc. All rights reserved.-
dc.language.isoen-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.subject.otherSingular perturbations; Bogdanov-Takens bifurcation; Limit cycles-
dc.titleSlow-fast Bogdanov-Takens bifurcations-
dc.typeJournal Contribution-
dc.identifier.epage1025-
dc.identifier.issue2-
dc.identifier.spage1000-
dc.identifier.volume250-
local.format.pages26-
local.bibliographicCitation.jcatA1-
dc.description.notes[De Maesschalck, P.; Dumortier, F.] Hasselt Univ, B-3590 Diepenbeek, Belgium.-
local.type.refereedRefereed-
local.type.specifiedArticle-
dc.bibliographicCitation.oldjcatA1-
dc.identifier.doi10.1016/j.jde.2010.07.022-
dc.identifier.isi000285490300015-
item.contributorDE MAESSCHALCK, Peter-
item.contributorDUMORTIER, Freddy-
item.validationecoom 2012-
item.fullcitationDE MAESSCHALCK, Peter & DUMORTIER, Freddy (2011) Slow-fast Bogdanov-Takens bifurcations. In: JOURNAL OF DIFFERENTIAL EQUATIONS, 250(2). p. 1000-1025.-
item.fulltextNo Fulltext-
item.accessRightsClosed Access-
crisitem.journal.issn0022-0396-
crisitem.journal.eissn1090-2732-
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