Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/22607
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dc.contributor.authorHUZAK, Renato-
dc.date.accessioned2016-11-14T15:21:41Z-
dc.date.available2016-11-14T15:21:41Z-
dc.date.issued2017-
dc.identifier.citationJOURNAL OF DIFFERENTIAL EQUATIONS, 262 (2), p. 1119-1154-
dc.identifier.issn0022-0396-
dc.identifier.urihttp://hdl.handle.net/1942/22607-
dc.description.abstractUsing geometric singular perturbation theory, including the family blow-up as one of the main techniques, we prove that the cyclicity, i.e. maximum number of limit cycles, in both regular and slow-fast unfoldings of nilpotent saddle-node singularity of codimension 4 is 2. The blow-up technique enables us to use the well known results for slow-fast codimension 1 and 2 Hopf bifurcations, slow-fast Bogdanov–Takens bifurcations and slow-fast codimension 3 saddle and elliptic bifurcations.-
dc.language.isoen-
dc.rights© 2016 Elsevier Inc. All rights reserved-
dc.subject.otherblow-up; limit cycles; singular perturbations; slow-fast systems-
dc.titleRegular and slow-fast codimension 4 saddle-node bifurcations-
dc.typeJournal Contribution-
dc.identifier.epage1154-
dc.identifier.issue2-
dc.identifier.spage1119-
dc.identifier.volume262-
local.bibliographicCitation.jcatA1-
dc.description.notesHuzak, R (reprint author), Hasselt Univ, Campus Diepenbeek,Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium. renato.huzak@uhasselt.be-
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local.type.refereedRefereed-
local.type.specifiedArticle-
dc.identifier.doi10.1016/j.jde.2016.10.008-
dc.identifier.isi000389682300012-
item.fullcitationHUZAK, Renato (2017) Regular and slow-fast codimension 4 saddle-node bifurcations. In: JOURNAL OF DIFFERENTIAL EQUATIONS, 262 (2), p. 1119-1154.-
item.validationecoom 2018-
item.accessRightsOpen Access-
item.fulltextWith Fulltext-
item.contributorHUZAK, Renato-
crisitem.journal.issn0022-0396-
crisitem.journal.eissn1090-2732-
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