Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/49229
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dc.contributor.authorHUZAK, Renato-
dc.contributor.authorPerez, Otavio-
dc.date.accessioned2026-06-08T12:29:03Z-
dc.date.available2026-06-08T12:29:03Z-
dc.date.issued2026-
dc.date.submitted2026-05-26T15:10:28Z-
dc.identifier.citationJournal of Nonlinear Science, 36 (3) (Art N° 61)-
dc.identifier.urihttp://hdl.handle.net/1942/49229-
dc.description.abstractThe purpose of this paper is to study the number of limit cycles of canard type in linear regularizations of piecewise linear systems with non-monotonic transition functions. Using the notion of slow divergence integral and elementary breaking mechanisms, we construct systems with an arbitrary finite number of hyperbolic limit cycles. The Hopf breaking mechanism deals with transition functions with precisely one critical point in the interval (−1, 1). On the other hand, the jump breaking mechanism produces any number of limit cycles using transition functions with precisely three critical points in (−1, 1).-
dc.description.sponsorshipTheArticleProcessingCharge(APC)forthepublicationofthisresearchwasfundedbytheCoordenaçãodeAperfeiçoamentodePessoaldeNívelSuperior-Brasil(CAPES)(RORidentifier:00x0ma614). TheresearchofR.Huzakwassupportedby:CroatianScienceFoundation(HRZZ)grantIP-2022-10-9820. OtavioHenriquePerezissupportedbySaoPauloResearchFoundation(FAPESP)grant2021/10198-9.-
dc.language.isoen-
dc.publisherSpringer-
dc.rightsThisarticleislicensedunderaCreativeCommonsAttribution4.0InternationalLicense,which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.-
dc.subject.otherCanard cycles-
dc.subject.otherSlow divergence integral-
dc.subject.otherSlow-fast Hopf point-
dc.subject.otherJump point-
dc.subject.otherRegularization-
dc.titleAn Unbounded Number of Canard Limit Cycles in Linear Regularizations of Piecewise Linear Systems-
dc.typeJournal Contribution-
dc.identifier.issue3-
dc.identifier.volume36-
local.format.pages24-
local.bibliographicCitation.jcatA1-
local.type.refereedRefereed-
local.type.specifiedArticle-
local.bibliographicCitation.artnr61-
dc.identifier.doi10.1007/s00332-026-10281-9-
dc.identifier.isi001775978200001-
local.provider.typePdf-
local.uhasselt.internationalyes-
item.accessRightsOpen Access-
item.fullcitationHUZAK, Renato & Perez, Otavio (2026) An Unbounded Number of Canard Limit Cycles in Linear Regularizations of Piecewise Linear Systems. In: Journal of Nonlinear Science, 36 (3) (Art N° 61).-
item.contributorHUZAK, Renato-
item.contributorPerez, Otavio-
item.fulltextWith Fulltext-
crisitem.journal.issn0938-8974-
crisitem.journal.eissn1432-1467-
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