A. Kittel et al., PRERECORDED HISTORY OF A SYSTEM AS AN EXPERIMENTAL TOOL TO CONTROL CHAOS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 50(1), 1994, pp. 262-268
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