Synchronization of two chaotic duffing-type electrical oscillators

Authors:
Ch. K. Volos;I. M. Kyprianidis;I. N. Stouboulos
Affiliations:
Physics Department, Aristotle University of Thessaloniki, Thessaloniki, Greece;Physics Department, Aristotle University of Thessaloniki, Thessaloniki, Greece;Physics Department, Aristotle University of Thessaloniki, Thessaloniki, Greece
Venue:
ICC'06 Proceedings of the 10th WSEAS international conference on Circuits
Year:
2006

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Abstract

We have studied experimentally the inverse system approach, which is used when we want to synchronize two chaotic systems (master - slave). We apply this method to a second order nonlinear circuit, which is described by a Duffing equation. We present two different implementations of the slave circuit with the inverse method and we demonstrate the possibility of synchronization when the two circuits have the same parameter values. We have also coupled the two circuits via a linear resistor Rx and we discovered, that synchronization holds for small values of Rx. Finally, we found out that the two circuits must be identical, otherwise the synchronization collapses.