Chaos Multiscale-Synchronization Between Two Different Fractional-Order Hyperchaotic Systems Based on Feedback Control

peer reviewedIn this paper, the chaos multiscale-synchronization between two different Fractional-order Hyperchaotic System (FOHCS)s have been investigated. The L¨u-like and its FOHCS are also studied. The L¨u-like FOHCS is controlled to be multiscale-synchronization with Liu FOHCS and new Lorenz FOHCS, respectively. The analytical conditions for the multiscale-synchronization of these pairs of different FOHCSs are derived by utilizing Laplace transform. Furthermore, multiscale-synchronization between two different FOHCSs is achieved by utilizing the different linear and nonlinear feedback control method in a short period and both remain in chaotic states. Numerical simulations are used to verify the theoretical analysis using different values of the fractional-order parameter and the different linear and nonlinear control functions.R-AGR-0689-1 > FNR - ERCIM Grant - Lin PAN > 01/04/2013 - 31/03/2014 > VOOS Holge