Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/27195
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dc.contributor.authorHUZAK, Renato-
dc.contributor.authorVlah, Domagoj-
dc.date.accessioned2018-10-22T13:53:37Z-
dc.date.available2018-10-22T13:53:37Z-
dc.date.issued2019-
dc.identifier.citationCommunications on Pure and Applied Analysis, 18 (2), p. 959-975-
dc.identifier.issn1534-0392-
dc.identifier.urihttp://hdl.handle.net/1942/27195-
dc.description.abstractIn previous work [Huzak,2017] we introduced a new box dimension method for computation of the number of limit cycles in planar slow-fast systems, Hausdorff close to balanced canard cycles with one breaking mechanism (the Hopf breaking mechanism or the jump breaking mechanism). This geometric approach consists of a simple iteration method for finding one orbit of the so-called slow relation function and of the calculation of the box dimension of that orbit. Then we read the cyclicity of the balanced canard cycles from the box dimension. The purpose of the present paper is twofold. First, we generalize the box dimension method to canard cycles with two breaking mechanisms. Second, we apply the method from [2017] and our generalized method to a number of interesting examples of canard cycles with one breaking mechanism and with two breaking mechanisms respectively.-
dc.description.sponsorshipThis work has been supported in part by Croatian Science Foundation under the project IP-2014-09-2285.-
dc.language.isoen-
dc.publisherAMER INST MATHEMATICAL SCIENCES-AIMS-
dc.subject.otherBox dimension-
dc.subject.othercanard cycles-
dc.subject.othersingular perturbation theory-
dc.subject.otherslow divergence integral-
dc.subject.otherTricot method-
dc.titleFractal analysis of canard cycles with two breaking parameters and applications-
dc.typeJournal Contribution-
dc.identifier.epage975-
dc.identifier.issue2-
dc.identifier.spage959-
dc.identifier.volume18-
local.bibliographicCitation.jcatA1-
dc.description.notesHuzak, R (reprint author), Hasselt Univ, Campus Diepenbeek,Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium. renato.huzak@uhasselt.be; domagoj.vlah@fer.hr-
local.type.refereedRefereed-
local.type.specifiedArticle-
dc.identifier.doi10.3934/cpaa.2019047-
dc.identifier.isi000446873800020-
dc.identifier.urlhttp://www.aimsciences.org/article/doi/10.3934/cpaa.2019047-
dc.identifier.eissn1553-5258-
item.contributorHUZAK, Renato-
item.contributorVlah, Domagoj-
item.fullcitationHUZAK, Renato & Vlah, Domagoj (2019) Fractal analysis of canard cycles with two breaking parameters and applications. In: Communications on Pure and Applied Analysis, 18 (2), p. 959-975.-
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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