Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/8193
Full metadata record
DC FieldValueLanguage
dc.contributor.authorBilazeroğlu, Şeyma-
dc.contributor.authorMerdan, Hüseyin-
dc.date.accessioned2022-01-15T13:00:34Z-
dc.date.available2022-01-15T13:00:34Z-
dc.date.issued2021-
dc.identifier.issn0960-0779-
dc.identifier.issn1873-2887-
dc.identifier.urihttps://doi.org/10.1016/j.chaos.2020.110391-
dc.identifier.urihttps://hdl.handle.net/20.500.11851/8193-
dc.description.abstractWe analyze Hopf bifurcation and its properties of a class of system of reaction-diffusion equations involving two discrete time delays. First, we discuss the existence of periodic solutions of this class under Neumann boundary conditions, and determine the required conditions on parameters of the system at which Hopf bifurcation arises near equilibrium point. Bifurcation analysis is carried out by choosing one of the delay parameter as a bifurcation parameter and fixing the other in its stability interval. Second, some properties of periodic solutions such as direction of Hopf bifurcation and stability of bifurcating periodic solution are studied through the normal form theory and the center manifold reduction for functional partial differential equations. Moreover, an algorithm is developed in order to determine the existence of Hopf bifurcation (and its properties) of variety of system of reaction-diffusion equations that lie in the same class. The benefit of this algorithm is that it puts a very complex and long computations of existence of Hopf bifurcation for each equation in that class into a systematic schema. In other words, this algorithm consists of the conditions and formulae that are useful for completing the existence analysis of Hopf bifurcation by only using coefficients in the characteristic equation of the linearized system. Similarly, it is also useful for determining the direction analysis of the Hopf bifurcation merely by using the coefficients of the second degree Taylor polynomials of functions in the right hand side of the system. Finally, the existence of Hopf bifurcation for three different problems whose governing equations stay in that class is given by utilizing the algorithm derived, and thus the feasibility of the algorithm is presented. (C) 2020 Elsevier Ltd. All rights reserved.en_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofChaos Solitons & Fractalsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHopf bifurcationen_US
dc.subjectFunctional partial differential equationsen_US
dc.subjectReaction-diffusion systemen_US
dc.subjectDelay differential equationsen_US
dc.subjectStabilityen_US
dc.subjectPeriodic solutionsen_US
dc.subjectDiscrete time delaysen_US
dc.titleHopf bifurcations in a class of reaction-diffusion equations including two discrete time delays: An algorithm for determining Hopf bifurcation, and its applicationsen_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.volume142en_US
dc.authoridMerdan, Huseyin / 0000-0003-2311-5348-
dc.identifier.wosWOS:000613267900012en_US
dc.institutionauthorMerdan, Hüseyin-
dc.identifier.doi10.1016/j.chaos.2020.110391-
dc.authorwosidMERDAN, HUSEYIN / V-3852-2017-
dc.authorwosidBilazeroglu, Seyma / AAW-4918-2021-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopusqualityQ2-
item.openairetypeArticle-
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.languageiso639-1en-
item.grantfulltextnone-
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
Show simple item record

CORE Recommender

SCOPUSTM   
Citations

2
checked on Sep 23, 2022

WEB OF SCIENCETM
Citations

4
checked on Sep 24, 2022

Page view(s)

44
checked on Oct 3, 2022

Google ScholarTM

Check

Altmetric


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.