Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/43611
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dc.contributor.authorHUZAK, Renato-
dc.contributor.authorKristiansen, Kristian Uldall-
dc.date.accessioned2024-08-29T12:55:06Z-
dc.date.available2024-08-29T12:55:06Z-
dc.date.issued2024-
dc.date.submitted2024-08-17T19:58:33Z-
dc.identifier.citationQualitative Theory of Dynamical Systems, 23 (Art N° 256)-
dc.identifier.issn1575-5460-
dc.identifier.urihttp://hdl.handle.net/1942/43611-
dc.description.abstractThe goal of this paper is to study the number of sliding limit cycles of regularized piecewise linear visible–invisible twofolds using the notion of slow divergence integral. We focus on limit cycles produced by canard cycles located in the half-plane with an invisible fold point. We prove that the integral has at most 1 zero counting multiplicity (when it is not identically zero). This will imply that the canard cycles can produce at most 2 limit cycles. Moreover, we detect regions in the parameter space with 2 limit cycle-
dc.language.isoen-
dc.publisherSpringer-
dc.rights© The Author(s) 2024 This article is licensed under a CreativeCommonsAttribution 4.0 InternationalLicense,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.otherLimit cycles-
dc.subject.otherPiecewise linear systems-
dc.subject.otherRegularization function-
dc.subject.otherSlow divergence integral-
dc.titleSliding Cycles of Regularized Piecewise Linear Visible–Invisible Twofolds-
dc.typeJournal Contribution-
dc.identifier.issueSUPPL 1-
dc.identifier.volume23-
local.format.pages40-
local.bibliographicCitation.jcatA1-
local.type.refereedRefereed-
local.type.specifiedArticle-
local.bibliographicCitation.artnr256-
dc.identifier.doihttps://doi.org/10.1007/s12346-024-01111-y-
dc.identifier.isi001292444700001-
dc.identifier.eissn1662-3592-
local.provider.typePdf-
local.uhasselt.internationalyes-
item.fullcitationHUZAK, Renato & Kristiansen, Kristian Uldall (2024) Sliding Cycles of Regularized Piecewise Linear Visible–Invisible Twofolds. In: Qualitative Theory of Dynamical Systems, 23 (Art N° 256).-
item.accessRightsOpen Access-
item.fulltextWith Fulltext-
item.contributorHUZAK, Renato-
item.contributorKristiansen, Kristian Uldall-
crisitem.journal.issn1575-5460-
crisitem.journal.eissn1662-3592-
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