Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/11992
Full metadata record
DC FieldValueLanguage
dc.contributor.authorDE MAESSCHALCK, Peter-
dc.contributor.authorDUMORTIER, Freddy-
dc.date.accessioned2011-06-08T12:30:53Z-
dc.date.availableNO_RESTRICTION-
dc.date.available2011-06-08T12:30:53Z-
dc.date.issued2011-
dc.identifier.citationPROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 139(6). p. 2073-2085-
dc.identifier.issn0002-9939-
dc.identifier.urihttp://hdl.handle.net/1942/11992-
dc.description.abstractIn this paper, we prove the presence of limit cycles of given multiplicity, together with a complete unfolding, in families of (singularly perturbed) polynomial Lienard equations. The obtained limit cycles are relaxation oscillations. Both classical Lienard equations and generalized Lienard equations are treated.-
dc.description.sponsorshipThe first author was supported by the Research Foundation Flanders FWO.-
dc.language.isoen-
dc.publisherAMER MATHEMATICAL SOC-
dc.rights© XXXX American Mathematical Society.-
dc.subject.otherslow-fast system; singular perturbations; limit cycles; relaxation oscillation; polynomial Lienard equations; elementary catastrophy-
dc.subject.otherSlow-fast system; singular perturbations; limit cycles; relaxation oscillation; polynomial Lienard equations; elementary catastrophy-
dc.titleBifurcations of multiple relaxation oscillations in polynomial Liénard equations-
dc.typeJournal Contribution-
dc.identifier.epage2085-
dc.identifier.issue6-
dc.identifier.spage2073-
dc.identifier.volume139-
local.format.pages13-
local.bibliographicCitation.jcatA1-
dc.description.notesP. De Maesschalck - Affiliation: Hasselt University, Campus Diepenbeek, Agoralaan gebouw D, B-3590 Diepenbeek, Belgium Email: peter.demaesschalck@uhasselt.be / F. Dumortier - Affiliation: Hasselt University, Campus Diepenbeek, Agoralaan gebouw D, B-3590 Diepenbeek, Belgium Email: freddy.dumortier@uhasselt.be-
local.type.refereedRefereed-
local.type.specifiedArticle-
dc.bibliographicCitation.oldjcatA1-
dc.identifier.doi10.1090/S0002-9939-2010-10610-X-
dc.identifier.isi000290642200020-
item.fullcitationDE MAESSCHALCK, Peter & DUMORTIER, Freddy (2011) Bifurcations of multiple relaxation oscillations in polynomial Liénard equations. In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 139(6). p. 2073-2085.-
item.fulltextWith Fulltext-
item.contributorDE MAESSCHALCK, Peter-
item.contributorDUMORTIER, Freddy-
item.validationecoom 2012-
item.accessRightsClosed Access-
crisitem.journal.issn0002-9939-
crisitem.journal.eissn1088-6826-
Appears in Collections:Research publications
Files in This Item:
File Description SizeFormat 
polymultiplelc.pdf
  Restricted Access
312.68 kBAdobe PDFView/Open    Request a copy
Show simple item record

SCOPUSTM   
Citations

14
checked on Aug 17, 2025

WEB OF SCIENCETM
Citations

13
checked on Aug 23, 2025

Google ScholarTM

Check

Altmetric


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