Synchronization of Forced damped Pendulum via Active Control

Abstract

In this paper active controllers are designed to synchronize two identical forced damped pendula. The performance of the controllers in the synchronization of the chaotic dynamics of the two pendula, resulting from different initial conditions, is investigated numerically and found to be effective. Transition from nonsynchronous state via both temporary phase lock (TPL) and intermittent synchronous states to complete synchronous state was observed.

Journal of the Nigerian Association of Mathematical Physics Vol. 10 2006: pp. 143-148