A Novel Multi-Wing Fractional-order Chaotic System, its Synchronisation Control and Application in Secure Communication

Abstract

This paper presents a fractional-order (FO) model of an eight-wing strange attractor. The proposed fractional-order chaotic system (FOCS) displays rich bifurcation, transient chaos and complex topology due to its multi-wing structure. Study of the multi-wing attractor dynamics is performed by means of fractal Lyapunov dimension, bifurcation analysis, maximum Lyapunov exponents spectrum, sensitivity to initial conditions and phase portraits. The minimum commensurate dimension to display chaos is determined. The proposed FOCS has the potential to safeguard the privacy of data transmission in secure communication and hence, a synchronisation control procedure is designed. Its application to a FO chaos based cryptographic scheme is validated with suitable examples. Finally, the numerical simulation results which are in good agreement with that of theoretical analysis confirm that the objectives of the paper are successfully achieved.