A.G. Nowosad, A. Rios Neto, H.F. Campos Velho (2000): Data Assimilation in Chaotic Dynamics Using Neural Networks, Third International Conference on Nonlinear Dynamics, Chaos, Control and Their Applications in Engineering Sciences, July 31 - August 4, Campos do Jordao (SP), Brasil. (submitted)

Abstract: Multilayered Perceptrons Neural Networks are used for data assimilation in two non-linear dynamic systems: the H\'enon and Lorenz systems in chaotic state. This aproach "emulates" here the Kalman Filter data assimilation method but does not require recalculation of the gain matrix at each instant of assimilation. In the case of H\'enon system an Adaptive Extended Kalman Filter was used to provide examples for network training. In the case of Lorenz system the Extended Kalman Filter was used for network training. The preliminary results obtained were promising.