Bifurcation Analysis of Fractional Order Single Cell with Delay

dc.contributor.authorCelik, Vedat
dc.date.accessioned2026-08-12T17:32:27Z
dc.date.issued2015
dc.departmentFırat Üniversitesi
dc.description.abstractThis paper presents the bifurcation analysis of fractional order model of delayed single cell which is proposed for delayed cellular neural networks with respect to the time delay tau. The bifurcation points, time delay tau(c), are determined by modified Mikhailov stability criterion for a range of fractional delayed cell order 0.3 <= q < 1. Numerical results obtained from Adams-Bashforth-Moulton method demonstrate that the supercritical Hopf bifurcation occurs in the system.
dc.identifier.doi10.1142/S0218127415500200
dc.identifier.issn0218-1274
dc.identifier.issn1793-6551
dc.identifier.issue2
dc.identifier.orcid0000-0001-8870-8465
dc.identifier.scopus2-s2.0-84928471294
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1142/S0218127415500200
dc.identifier.urihttps://hdl.handle.net/11508/56644
dc.identifier.volume25
dc.identifier.wosWOS:000350485800006
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofInternational Journal of Bifurcation and Chaos
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260511
dc.subjectBifurcation
dc.subjectfractional order delayed cell
dc.subjectthe modified Mikhailov stability criterion
dc.subjectlimit cycle
dc.titleBifurcation Analysis of Fractional Order Single Cell with Delay
dc.typeArticle

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