Gecikmeli reaksiyon-difüzyon lengyel-epstein modelinin hopf çatallanma analizi
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Abstract (EN)
In this thesis, a new algorithm for Hopf Bifurcation analysis of a Delayed Reaction-Diffusion System is introduced with taking delay term ? as a bifurcation parameter. This algorithm is obtained by combining algorithms which are given in [14] for Delayed Differantial Systems and [15] for Reaction-Diffusion Systems. This algorithm is applied to Delayed Reaction-Diffusion Lengyel-Epstein Model which is made more realistic by adding the delay and diffusion terms. Also, the conditions which Hopf Bifurcation will occur in this system, what would be the direction of the Hopf Bifurcation which occurs under this conditions and what would be the stability structure of periodic solutions which occur due from Hopf Bifurcation are expressed.
Author
Şeyma Bilazeroğlu
Institution
How to Cite
Şeyma Bilazeroğlu (Master Thesis). Gecikmeli reaksiyon-difüzyon lengyel-epstein modelinin hopf çatallanma analizi, 2012, TOBB Economics and Technology University, Matematik Bölümü.
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