Anti-synchronization between identical and non-identical fractional-order chaotic systems using active control method

Abstract

This article deals with the anti-synchronization between two identical chaotic fractional-order Qi system, Genesio-Tesi system, and also between two different fractional-order Genesio-Tesi and Qi systems using active control method. The chaotic attractors of the systems are found for fractional-order time derivatives described in Caputo sense. Numerical simulation results which are carried out using Adams-Boshforth-Moulton method show that the method is reliable and effective for anti-synchronization of nonlinear dynamical evolutionary systems. © 2013 Springer Science+Business Media Dordrecht.