Synchronization of chaotic systems: A real-time application to Colpitts oscillator

In this paper we deal with the synchronization of the Colpitts oscillator. The synchronization problem for chaotic systems is treated as an observation problem, some results based on a differential algebraic approach are used in order to determine observability with the measurements from the system. The strategy consists of proposing a slave system (observer) which tends to follow asymptotically the Colpitts oscillator, refereed as master system. The methodology was tested in a real-time implementation by means of a reduced order observer.