Electronic Journal of Theoretical Physics Fractional-order Hybrid Optical System and its Chaos Control Synchronization

Abstract

Abstract: In this work, a fractional chaotic system is introduced, where the capacitor and the inductor of the original circuit are replaced by a fractional electric element called fractance. Moreover, a feedback nonlinear controller is designated and used both to control chaos in this fractional system to its unstable (equilibriums or periodic orbits) and to achieve identical synchronization. Furthermore non-identical synchronization is studied to achieve synchronization between two coupled systems with different fractional orders. Numerical simulations show the effectiveness of the theoretical analysis