HIGH-DIMENSIONAL CHAOTIC NEURAL-NETWORK UNDER EXTERNAL SINUSOIDAL FORCE

Controlling chaos by an external sinusoidal force is considered in an asymmetric analog neural network with time delay. Quantitative charact eristics of the chaotic outputs (spectrum, correlation dimension and l argest Lyapunov exponent) are studied. It is pointed out that the exte rnal sinusoidal force allows one to control the degree of chaos and to produce ''chaos-order'', ''order-chaos'', and ''chaos-chaos'' transit ions. Possible mechanisms responsible for the different transitions ar e discussed. The results of a numerical simulation are compared with t he experimental data on controlling chaos in the brain. (C) 1997 Elsev ier Science B.V.