PRERECORDED HISTORY OF A SYSTEM AS AN EXPERIMENTAL TOOL TO CONTROL CHAOS

We present experimental results of synchronizing the current state of a chaotic system with its prerecorded history. This is achieved by a s mall self-controlling feedback perturbation in the form of the differe nce between the current state of the system and its past dynamics. The perturbation transforms an unpredictable chaotic behavior into a pred ictable chaotic or periodic motion via stabilization of unstable, aper iodic, or periodic orbits of the strange attractor. One advantage of t he method is its robustness against noise. Furthermore, it does not re quire any analytical knowledge of the system dynamics and can be simpl y implemented in experiment by a purely analog technique. The experime ntal results are supported by a numerical analysis of the conditional Lyapunov exponents and other characteristics of the model equations