IMPOSING THE DESIRED BEHAVIOR ON A CHAOTIC SYSTEM

We discuss a new strategy which allows one to drive a chaotic system in such a way that it exhibits some desired behavior. The imposed behavior 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 of synchronization of chaotic systems, and more specifically on the robustness of this phenomenon versus parameter mismatch. The method consists of the introduction of the driving signal in an appropriate term of the evolution equations of the system under study, so that it becomes synchronized with the signal. The synchronization condition is discussed in terms of the corresponding transverse Lyapunov exponents. The possibility of inducing chaotic behavior in a nonlinear system which is in the stationary regime is also considered.