Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/11566
Full metadata record
DC FieldValueLanguage
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.validationecoom 2012-
item.contributorDE MAESSCHALCK, Peter-
item.contributorDUMORTIER, Freddy-
item.accessRightsClosed Access-
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-
crisitem.journal.issn0022-0396-
crisitem.journal.eissn1090-2732-
Appears in Collections:Research publications
Show simple item record

SCOPUSTM   
Citations

31
checked on Dec 19, 2025

WEB OF SCIENCETM
Citations

29
checked on Dec 20, 2025

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.