Chaotic Hopfield Neural Network Swarm Optimization and Its Application

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...

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Main Authors: Yanxia Sun, Zenghui Wang, Barend Jacobus van Wyk
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/873670
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author Yanxia Sun
Zenghui Wang
Barend Jacobus van Wyk
author_facet Yanxia Sun
Zenghui Wang
Barend Jacobus van Wyk
author_sort Yanxia Sun
collection DOAJ
description 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.
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institution Kabale University
issn 1110-757X
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language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-9262510e92b2418bafc85495b5b6ebd52025-02-03T01:24:06ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/873670873670Chaotic Hopfield Neural Network Swarm Optimization and Its ApplicationYanxia Sun0Zenghui Wang1Barend Jacobus van Wyk2Department of Electrical Engineering, Tshwane University of Technology, Pretoria 0001, South AfricaSchool of Engineering, University of South Africa, Florida 1710, South AfricaDepartment of Electrical Engineering, Tshwane University of Technology, Pretoria 0001, South AfricaA 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.http://dx.doi.org/10.1155/2013/873670
spellingShingle Yanxia Sun
Zenghui Wang
Barend Jacobus van Wyk
Chaotic Hopfield Neural Network Swarm Optimization and Its Application
Journal of Applied Mathematics
title Chaotic Hopfield Neural Network Swarm Optimization and Its Application
title_full Chaotic Hopfield Neural Network Swarm Optimization and Its Application
title_fullStr Chaotic Hopfield Neural Network Swarm Optimization and Its Application
title_full_unstemmed Chaotic Hopfield Neural Network Swarm Optimization and Its Application
title_short Chaotic Hopfield Neural Network Swarm Optimization and Its Application
title_sort chaotic hopfield neural network swarm optimization and its application
url http://dx.doi.org/10.1155/2013/873670
work_keys_str_mv AT yanxiasun chaotichopfieldneuralnetworkswarmoptimizationanditsapplication
AT zenghuiwang chaotichopfieldneuralnetworkswarmoptimizationanditsapplication
AT barendjacobusvanwyk chaotichopfieldneuralnetworkswarmoptimizationanditsapplication