Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/43013
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dc.contributor.authorYao, Jinhui-
dc.contributor.authorHUZAK, Renato-
dc.contributor.authorHuang, Jicai-
dc.date.accessioned2024-05-28T13:19:55Z-
dc.date.available2024-05-28T13:19:55Z-
dc.date.issued2024-
dc.date.submitted2024-05-03T10:17:43Z-
dc.identifier.citationCHAOS, 34 (5) (Art N° 053112)-
dc.identifier.urihttp://hdl.handle.net/1942/43013-
dc.description.abstractIn this paper, we study the cyclicity of some degenerate slow-fast cycles with two canard mechanisms in planar slow-fast systems. One canard mechanism originates from a slow-fast Hopf point and the other from a point of self-intersection where the so-called entry-exit relation can be used. By studying the difference map, we show that the cyclicity of such slow-fast cycles is at most two (the associated slow divergence integral is nonzero or vanishes). As an example, we apply this result to the modified Holling-Tanner model.-
dc.description.sponsorshipWearegrateful totheeditorsandanonymousrefereeswhose comments and suggestions have led to improvements in the manuscript. The researchof J.H.waspartially supportedby the National Natural Science Foundation of China (NNSFC) (No. 12231008).-
dc.language.isoen-
dc.publisherAIP Publishing-
dc.rightsPublishedunderanexclusivelicensebyAIPPublishing-
dc.subject.otherCanard-
dc.subject.otherPerturbation theory-
dc.subject.otherRelaxation oscillations-
dc.titleCyclicity of slow–fast cycles with two canard mechanisms-
dc.typeJournal Contribution-
dc.identifier.issue5-
dc.identifier.volume34-
local.bibliographicCitation.jcatA1-
dc.description.notesHuang, JC (corresponding author), Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.-
local.publisher.place1305 WALT WHITMAN RD, STE 300, MELVILLE, NY 11747-4501 USA-
local.type.refereedRefereed-
local.type.specifiedArticle-
local.bibliographicCitation.artnr053112-
dc.identifier.doi10.1063/5.0201887-
dc.identifier.isiWOS:001225919400006-
dc.identifier.urlhttps://pubs.aip.org/aip/cha/article/34/5/053112/3287872/Cyclicity-of-slow-fast-cycles-with-two-canard?searchresult=1-
local.provider.typePdf-
local.description.affiliation[Yao, Jinhui; Huang, Jicai] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.-
local.description.affiliation[Huzak, Renato] Hasselt Univ, Dept Math & Stat, Campus Diepenbeek,Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium.-
local.uhasselt.internationalyes-
item.fullcitationYao, Jinhui; HUZAK, Renato & Huang, Jicai (2024) Cyclicity of slow–fast cycles with two canard mechanisms. In: CHAOS, 34 (5) (Art N° 053112).-
item.accessRightsRestricted Access-
item.fulltextWith Fulltext-
item.contributorYao, Jinhui-
item.contributorHUZAK, Renato-
item.contributorHuang, Jicai-
crisitem.journal.issn1054-1500-
crisitem.journal.eissn1089-7682-
Appears in Collections:Research publications
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