Hopf Bifurcation for a Class of Partial Differential Equation with Delay

Azevedo, Katia A. G.; Ladeira, Luiz A. C.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Hopf Bifurcation for a Class of Partial Differential Equation with Delay

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Author(s):	Azevedo, Katia A. G. ^[1] ; Ladeira, Luiz A. C. ^[1] Total Authors: 2
Affiliation:	^[1] Univ Sao Paulo, ICMC, Dep Matemat, BR-13560970 Sao Carlos, SP - Brazil Total Affiliations: 1
Document type:	Journal article
Source:	Funkcialaj Ekvacioj-Serio Internacia; v. 47, n. 3, p. 395-422, DEC 2004.
Web of Science Citations:	4
Abstract
We study a kind of delayed reaction-diffusion equation with Dirichlet boundary condition. We show the existence of a sequence of values [tau(kn)](n=0,1,2,..) of the parameter tau such that a Hopf bifurcation occurs when the delay passes through each value [tau(kn)]. The main techniques used here are some results on nonlinear eigenvalue problems, the analysis of the characteristic equation of the linearized problem, the Liapunov-Schmidt method and the implicit function theorem. (AU)

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