Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/25661
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dc.contributor.authorHUZAK, Renato-
dc.date.accessioned2018-03-06T10:31:36Z-
dc.date.available2018-03-06T10:31:36Z-
dc.date.issued2018-
dc.identifier.citationCOMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 17(3), p. 1305-1316-
dc.identifier.issn1534-0392-
dc.identifier.urihttp://hdl.handle.net/1942/25661-
dc.description.abstractIn this paper we finish the study of the cyclicity ( i.e. the maximum number of limit cycles) of the degenerate graphic DF2a of [6] which is initiated in [5]. More precisely, we prove that the graphic DF2a has a finite cyclicity. The goal of the program [6] is to solve the finiteness part of Hilbert’s 16th problem for quadratic polynomial systems. We use techniques from geometric singular perturbation theory, including the family blow-up.-
dc.language.isoen-
dc.subject.othercyclicity; degenerate graphics; family blow-up; singular perturbation theory; slow divergence integral; slow-fast systems-
dc.titleCyclicity of degenerate graphic DF2a of Dumortier-Roussarie-Rousseau program-
dc.typeJournal Contribution-
dc.identifier.epage1316-
dc.identifier.issue3-
dc.identifier.spage1305-
dc.identifier.volume17-
local.bibliographicCitation.jcatA1-
dc.description.notesHuzak, R (reprint author), Hasselt Univ, Campus Diepenbeek,Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium. renato.huzak@uhasselt.be-
local.type.refereedRefereed-
local.type.specifiedArticle-
dc.identifier.doi10.3934/cpaa.2018063-
dc.identifier.isi000439236400026-
item.contributorHUZAK, Renato-
item.fullcitationHUZAK, Renato (2018) Cyclicity of degenerate graphic DF2a of Dumortier-Roussarie-Rousseau program. In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 17(3), p. 1305-1316.-
item.accessRightsOpen Access-
item.fulltextWith Fulltext-
item.validationecoom 2019-
crisitem.journal.issn1534-0392-
crisitem.journal.eissn1553-5258-
Appears in Collections:Research publications
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