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Mathematical Problems in EngineeringVolume 2009 2009, Article ID 950251, 34 pages

Research ArticleDepartment of Mathematics, Harbin Institute of Technology Weihai, Weihai, Shandong 264209, China

Received 21 January 2009; Revised 27 March 2009; Accepted 24 May 2009

Academic Editor: Ji Huan He

Copyright © 2009 Dejun Fan and Junjie Wei. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A kind of delay neural network with n elements is considered. By analyzing the distribution of the eigenvalues, a bifurcation set is given in an appropriate parameter space. Then by using the theory of equivariantHopf bifurcations of ordinary differential equations due to Golubitsky et al. 1988 and delay differential equations due to Wu 1998, and combining the normalform theory of functional differential equations due to Faria and Magalhaes 1995, the equivariant Hopf bifurcation is completely analyzed.

Author: Dejun Fan and Junjie Wei

Source: https://www.hindawi.com/


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