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Wavelet chaotic neural networks and their application to continuous function optimization

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DOI: 10.4236/ns.2009.13027    4,742 Downloads   8,493 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

References

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