Synchronization of chaos via optimal parameter perturbation using short time series data

Abstract

Some OGY based methods for synchronization of chaotic trajectories using small parameter perturbations rely heavily on the dynamical equations of systems. We present an alternative method for the synchronization of chaos via parameter perturbation using only time series data. Employing a very simple local model constructed from time series data, parameter perturbations necessary to achieve synchronization are easily obtained. Synchronization can be achieved even though the local model is very crude when using very short time series data.