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dc.contributor.advisorÇelik Karaaslanlı, Canan
dc.contributor.authorÇekiç, Gökçen
dc.date.accessioned2021-05-08T11:22:55Z
dc.date.available2021-05-08T11:22:55Z
dc.date.submitted2009
dc.date.issued2018-08-06
dc.identifier.urihttps://acikbilim.yok.gov.tr/handle/20.500.12812/683726
dc.description.abstractBu tezde gecikmeli lojistik bir av-avcı sisteminin dinamiği incelenmiş ve ? gecikme parametresi,çatallanma parametresi olarak seçilerek kararlılık ve Hopf çatallanma analizi çalışılmıştır.Ayrıca normal form teori ve center manifold teoremi kullanılarak kritik ? değerinde çatallanan periyodik çözümün yönü,kararlılığı ve periyodu elde edilmiştir.Elde edilen teorik sonuçlar ise nümerik simülasyonlarla desteklenmiştir.
dc.description.abstractIn this thesis,the dynamics of a logistic delayed prey-predator system is investigated and choosing ? delay parameter as bifurcating parameter the stability and Hopf bifurcation analysis are studied.Moreover,by using normal form theory and center manifold theorem the direction,stability and the period of the bifurcating periodic solution at critical values ? are obtained.Also the theoretical results are supported by numerical simulations.en_US
dc.languageTurkish
dc.language.isotr
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightsAttribution 4.0 United Statestr_TR
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectMatematiktr_TR
dc.subjectMathematicsen_US
dc.titleGecikmeli av-avcı sistemlerinde Hopf çatallanma ve kararlılık analizi
dc.title.alternativeHopf bifurcation and stability analysis for delay differential equation systems
dc.typemasterThesis
dc.date.updated2018-08-06
dc.contributor.departmentMatematik Ana Bilim Dalı
dc.subject.ytmDelay differential equations
dc.subject.ytmBifurcation
dc.subject.ytmStability analysis
dc.identifier.yokid348548
dc.publisher.instituteFen Bilimleri Enstitüsü
dc.publisher.universityTOBB EKONOMİ VE TEKNOLOJİ ÜNİVERSİTESİ
dc.identifier.thesisid244552
dc.description.pages82
dc.publisher.disciplineDiğer


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