Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/6829
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dc.contributor.authorÇelik, Canan-
dc.contributor.authorMerdan, Hüseyin-
dc.date.accessioned2021-09-11T15:43:46Z-
dc.date.available2021-09-11T15:43:46Z-
dc.date.issued2013en_US
dc.identifier.issn0096-3003-
dc.identifier.urihttps://doi.org/10.1016/j.amc.2012.12.063-
dc.identifier.urihttps://hdl.handle.net/20.500.11851/6829-
dc.description.abstractIn this paper, we have considered a system of delay differential equations. The system without delayed arises in the Lengyel-Epstein model. Its dynamics are studied in terms of local analysis and Hopf bifurcation analysis. Linear stability is investigated and existence of Hopf bifurcation is demonstrated via analyzing the associated characteristic equation. For the Hopf bifurcation analysis, the delay parameter is chosen as a bifurcation parameter. The stability of the bifurcating periodic solutions is determined by using the center manifold theorem and the normal form theory introduced by Hassard et al. (1981) [7]. Furthermore, the direction of the bifurcation, the stability and the period of periodic solutions are given. Finally, the theoretical results are supported by some numerical simulations. (C) 2013 Elsevier Inc. All rights reserved.en_US
dc.language.isoenen_US
dc.publisherElsevier Science Incen_US
dc.relation.ispartofApplied Mathematics And Computationen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHopf bifurcationen_US
dc.subjectDelay differential equationen_US
dc.subjectTime delayen_US
dc.subjectStabilityen_US
dc.subjectPeriodic solutionsen_US
dc.titleHopf bifurcation analysis of a system of coupled delayed-differential equationsen_US
dc.typeArticleen_US
dc.departmentFaculties, Faculty of Science and Literature, Department of Mathematicsen_US
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümütr_TR
dc.identifier.volume219en_US
dc.identifier.issue12en_US
dc.identifier.startpage6605en_US
dc.identifier.endpage6617en_US
dc.identifier.wosWOS:000315708700024en_US
dc.identifier.scopus2-s2.0-84873979115en_US
dc.institutionauthorMerdan, Hüseyin-
dc.identifier.doi10.1016/j.amc.2012.12.063-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopusqualityQ1-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.grantfulltextnone-
item.fulltextNo Fulltext-
item.openairetypeArticle-
item.cerifentitytypePublications-
item.languageiso639-1en-
crisitem.author.dept07.03. Department of Mathematics-
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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