Wavelet chaotic neural networks and their application to continuous function optimization

HTML  Download Download as PDF (Size: 622KB)  PP. 204-209  
DOI: 10.4236/ns.2009.13027    5,174 Downloads   9,421 Views  Citations

Affiliation(s)

.

ABSTRACT

Neural networks have been shown to be pow-erful tools for solving optimization problems. In this paper, we first retrospect Chen’s chaotic neural network and then propose several novel chaotic neural networks. Second, we plot the figures of the state bifurcation and the time evolution of most positive Lyapunov exponent. Third, we apply all of them to search global minima of continuous functions, and respec-tively plot their time evolution figures of most positive Lyapunov exponent and energy func-tion. At last, we make an analysis of the per-formance of these chaotic neural networks.

Share and Cite:

Zhang, J. and Xu, Y. (2009) Wavelet chaotic neural networks and their application to continuous function optimization. Natural Science, 1, 204-209. doi: 10.4236/ns.2009.13027.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.