Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/8194
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dc.contributor.authorBilazeroğlu, Şeyma-
dc.contributor.authorMerdan, Hüseyin-
dc.contributor.authorGuerrini, Luca-
dc.date.accessioned2022-01-15T13:00:35Z-
dc.date.available2022-01-15T13:00:35Z-
dc.date.issued2022-
dc.identifier.issn1078-0947-
dc.identifier.issn1553-5231-
dc.identifier.urihttps://doi.org/10.3934/dcdss.2021150-
dc.identifier.urihttps://hdl.handle.net/20.500.11851/8194-
dc.description.abstractHopf bifurcations of a Lengyel-Epstein model involving two discrete time delays are investigated. First, stability analysis of the model is given, and then the conditions on parameters at which the system has a Hopf bifurcation are determined. Second, bifurcation analysis is given by taking one of delay parameters as a bifurcation parameter while fixing the other in its stability interval to show the existence of Hopf bifurcations. The normal form theory and the center manifold reduction for functional differential equations have been utilized to determine some properties of the Hopf bifurcation including the direction and stability of bifurcating periodic solution. Finally, numerical simulations are performed to support theoretical results. Analytical results together with numerics present that time delay has a crucial role on the dynamical behavior of Chlorine Dioxide-Iodine-Malonic Acid (CIMA) reaction governed by a system of nonlinear differential equations. Delay causes oscillations in the reaction system. These results are compatible with those observed experimentally.en_US
dc.language.isoenen_US
dc.publisherAmer Inst Mathematical Sciences-Aimsen_US
dc.relation.ispartofDiscrete and Continuous Dynamical Systemsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectLengyel-Epstein systemen_US
dc.subjectoscillating reactionen_US
dc.subjectHopf bifurcationen_US
dc.subjectdelay differential equationen_US
dc.subjectfunctional differential equationen_US
dc.subjectstabilityen_US
dc.subjecttime delayen_US
dc.subjectperiodic solutionsen_US
dc.subjectDiffusion-Driven Instabilityen_US
dc.subjectDifferential-Equationsen_US
dc.subjectTuring Patternsen_US
dc.subjectSystemen_US
dc.subjectStabilityen_US
dc.subjectTumoren_US
dc.titleHopf Bifurcations of a Lengyel-Epstein Model Involving Two Discrete Time Delaysen_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.wosWOS:000725204300001en_US
dc.identifier.scopus2-s2.0-85124389233en_US
dc.institutionauthorMerdan, Hüseyin-
dc.identifier.doi10.3934/dcdss.2021150-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopusqualityQ1-
item.openairetypeArticle-
item.languageiso639-1en-
item.grantfulltextnone-
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
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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