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  Neural Network Modeling of Discrete-Time Chaotic Maps

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by Edmond A. Jonckheere
http://www.procom.com/~homayoun/publ/p2.ps.gz
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Abstract:

Although chaotic systems have received increasing attention over the past two decades, traditional modeling tools have always encountered considerable analytical and numerical difficulties in modeling and predicting the behavior of chaotic systems. Neural networks, on the other hand, seem to be able to introduce a powerful modeling tool relying on their nonlinear nature. This paper contains a brief discussion on the properties of one- and two-dimensional discrete maps, an introduction to the operation of perceptron neural networks, neural network modeling and prediction of consecutive samples of one- and two-dimensional discrete-time chaotic arrays, and several experimental results.

Citations

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