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Mathematical Problems in Engineering
Volume 2013, Article ID 315367, 8 pages
Research Article

Bifurcation and Hybrid Control for A Simple Hopfield Neural Networks with Delays

College of Science, PLA University of Science and Technology, Nanjin 211101, China

Received 30 March 2013; Accepted 6 May 2013

Academic Editor: Guanghui Wen

Copyright © 2013 Zisen Mao et al. 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 detailed analysis on the Hopf bifurcation of a delayed Hopfield neural network is given. Moreover, a new hybrid control strategy is proposed, in which time-delayed state feedback and parameter perturbation are used to control the Hopf bifurcation of the model. Numerical simulation results confirm that the new hybrid controller using time delay is efficient in controlling Hopf bifurcation.