Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/15848
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dc.contributor.authorColl, B.-
dc.contributor.authorDUMORTIER, Freddy-
dc.contributor.authorProhens, R.-
dc.date.accessioned2013-10-25T13:47:16Z-
dc.date.available2013-10-25T13:47:16Z-
dc.date.issued2013-
dc.identifier.citationJOURNAL OF DIFFERENTIAL EQUATIONS, 255 (11), p. 4169-4184-
dc.identifier.issn0022-0396-
dc.identifier.urihttp://hdl.handle.net/1942/15848-
dc.description.abstractWe show that every finite configuration of disjoint simple closed curves in the plane is topologically realizable as the set of limit cy-cles of a polynomial Liénard equation.The related vector field X is Morse–Smale. Moreover it has the minimum numberof singulari-ties required fo rrealizing the configuration in a Liénardequation. We provide an explicit upper bound on the degree of X, which is lower than the results obtained before, obtained in the context of general polynomial vector fields. ©2013ElsevierInc. All rights reserved.-
dc.description.sponsorshipThe second author thanks the Universitat de les Illes Balears (UIB) for its support as invited professor during December, 2012. The third author is supported by the MICIIN/FEDER grant number MTM2011-22751.-
dc.language.isoen-
dc.subject.otherPlanar vector field; Lienard equation; Limit cycles configuration; Morse polynomial function-
dc.titleConfigurations of limit cycles in Lienard equations-
dc.typeJournal Contribution-
dc.identifier.epage4184-
dc.identifier.issue11-
dc.identifier.spage4169-
dc.identifier.volume255-
local.bibliographicCitation.jcatA1-
dc.description.notesProhens, R (reprint author), Univ Illes Balears, Dept Matemat & Informat, Palma De Mallorca 07122, Illes Balears, Spain. tomeu.coll@uib.cat; freddy.dumortier@uhasselt.be; rafel.prohens@uib.cat-
local.type.refereedRefereed-
local.type.specifiedArticle-
dc.identifier.doi10.1016/j.jde.2013.08.004-
dc.identifier.isi000324960100018-
item.accessRightsClosed Access-
item.fulltextNo Fulltext-
item.contributorColl, B.-
item.contributorDUMORTIER, Freddy-
item.contributorProhens, R.-
item.fullcitationColl, B.; DUMORTIER, Freddy & Prohens, R. (2013) Configurations of limit cycles in Lienard equations. In: JOURNAL OF DIFFERENTIAL EQUATIONS, 255 (11), p. 4169-4184.-
item.validationecoom 2014-
crisitem.journal.issn0022-0396-
crisitem.journal.eissn1090-2732-
Appears in Collections:Research publications
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