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.sponsorshipFunding: The Article Processing Charge (APC) for the publication of this research was funded by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - Brasil (CAPES) (ROR identifier: 00x0ma614). The research of R. Huzak was supported by: Croatian Science Foundation (HRZZ) grant IP-2022-10-9820. Otavio Henrique Perez is supported by Sao Paulo Research Foundation (FAPESP) grant 2021/10198-9.-
dc.language.isoen-
dc.publisherSpringer-
dc.rightsThe Author(s) 2026. Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, 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-
dc.description.notesPerez, OH (corresponding author), Univ Sao Paulo, Inst Ciencias Matemat & Computacao ICMC, Ave Trabalhador Sao Carlense 400, BR-13566590 Sao Carlos, SP, Brazil.-
dc.description.notesotavio.perez@icmc.usp.br-
local.publisher.placeONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES-
local.type.refereedRefereed-
local.type.specifiedArticle-
local.bibliographicCitation.artnr61-
dc.identifier.doi10.1007/s00332-026-10281-9-
dc.identifier.isi001775978200001-
local.provider.typePdf-
local.description.affiliation[Huzak, Renato] Hasselt Univ, Campus Diepenbeek,Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium.-
local.description.affiliation[Perez, Otavio Henrique] Univ Sao Paulo, Inst Ciencias Matemat & Computacao ICMC, Ave Trabalhador Sao Carlense 400, BR-13566590 Sao Carlos, SP, Brazil.-
local.uhasselt.internationalyes-
item.fulltextWith Fulltext-
item.contributorHUZAK, Renato-
item.contributorPerez, Otavio-
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.accessRightsOpen Access-
crisitem.journal.issn0938-8974-
crisitem.journal.eissn1432-1467-
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