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Journal of Applied Mathematics
Volume 2013 (2013), Article ID 873670, 10 pages
Research Article

Chaotic Hopfield Neural Network Swarm Optimization and Its Application

1Department of Electrical Engineering, Tshwane University of Technology, Pretoria 0001, South Africa
2School of Engineering, University of South Africa, Florida 1710, South Africa

Received 7 February 2013; Accepted 20 March 2013

Academic Editor: Xiaojing Yang

Copyright © 2013 Yanxia Sun 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 new neural network based optimization algorithm is proposed. The presented model is a discrete-time, continuous-state Hopfield neural network and the states of the model are updated synchronously. The proposed algorithm combines the advantages of traditional PSO, chaos and Hopfield neural networks: particles learn from their own experience and the experiences of surrounding particles, their search behavior is ergodic, and convergence of the swarm is guaranteed. The effectiveness of the proposed approach is demonstrated using simulations and typical optimization problems.