Identification and prediction of discrete chaotic maps applying a Chebyshev neural network |
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| Institution: | 1. School of Electrical Engineering and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250303, China;2. School of Mathematical Sciences, University of Jinan, Jinan 250022, China |
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| Abstract: | A new approach to reconstructing and predicting discrete chaotic maps is developed. It is based on the feed-forward neural network which decomposes the analyzed chaotic map in orthogonal Chebyshev polynomials. We show that the Chebyshev neural network (CNN) significantly exceeds the traditional multi-layer perceptron (MLP) in learning rate and in the accuracy of approximating an unknown map. |
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