Synchronization and control in a unidirectionally coupled array of chaotic diode resonators.

Abstract

We experimentally investigate the synchronization of a one dimensional array of unidirectionally coupled chaotic diode resonators. Though care is taken to match diode elements as closely as possible, slight differences in the diode characteristics unavoidably affect the quality of the synchronization between the first and last element of the chain. We explore two different approaches for synchronizing each new element added to the chain and its effect on the quality of the end-to-end synchronization as measured by the mutual information between the end elements. In addition, once the chain is synchronized, we apply chaotic control by means of occasional proportional feedback to the first element. We are able to stabilize the period-1 through period-10 unstable periodic orbits in each element of the synchronized array.