Prediction of chaotic time series using neural network

This paper introduces a novel algorithm for determining the structure of a radial basis function (RBF) network (the number of hidden units) while it IS used for dynamic modeling of chaotic time series. It can be seen that the hidden units in the RBF network call form hyperplanes to partition the input space into various regions ill each of which it is possible to approximate the dynamics with a basis function. The number of regions corresponds to the number of hidden units. Accordingly, the network topology is efficiently determined based oil the complexity of the underlying dynamics as reflected in the observed time series. The feasibility of the proposed scheme is examined through dynamic modeling of the well-known chaotic time series. The results show that the new method can improve the predictability of chaotic time series with a Suitable number of hidden units compared to that of reported in the literature.