IMPOSING THE DESIRED BEHAVIOR ON A CHAOTIC SYSTEM

We discuss a new strategy which allows one to drive a chaotic system i n such a way that it exhibits some desired behavior. The imposed behav ior can be a harmonic or other kind of signal, including a chaotic one produced by another chaotic system. The method is based on the idea o f synchronization of chaotic systems, and more specifically on the rob ustness of this phenomenon versus parameter mismatch. The method consi sts of the introduction of the driving signal in an appropriate term o f the evolution equations of the system under study, so that it become s synchronized with the signal. The synchronization condition is discu ssed in terms of the corresponding transverse Lyapunov exponents. The possibility of inducing chaotic behavior in a nonlinear system which i s in the stationary regime is also considered.