An artificial neural network noise reduction method for chaotic attractors

A method is presented to reduce noise in chaotic attractors without knowing the underlying maps. The method is based on using Artificial Neural Networ k (ANN) for moderate levels of additive noise. For high levels of additive noise, a combination of a refinement procedure with ANN is used. In this ca se, only one refinement is needed for the successful use of ANN. The obtain ed ANN model is used for long-term predictions of the future behavior of a Henon attractor, using information based only on past values.