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J. Hopfield, (1982) Neural networks and physical systems with emergent collective computa-tional abilities. In: Proc Natl Acad Sci, 79, 2554-2558.

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• TITLE: Wavelet chaotic neural networks and their application to continuous function optimization

  AUTHORS: Jia-Hai Zhang, Yao-Qun Xu

  KEYWORDS: Wavelet Chaotic Neural Networks; Wavelet; Optimization

  JOURNAL NAME: Natural Science, Vol.1 No.3, December 15, 2009

  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.