Complex Projective Synchronization of Fractional Complex Systems Using Nonlinear Control Method

Abstract

The manuscript investigates the complex projective synchronization of two complex non-integer chaotic systems using a nonlinear control method. To this purpose, the nonlinear controller is designed on basis of Lyapunov stability theorems, applying a recent theorem stated for fractional dynamical systems. The simulation results confirm that the suggested approach allows to derive an effective nonlinear control function and to achieve projective chaos synchronization of the complex non-integer Lorenz system and the complex non-integer Lu system. © 2018 IEEE.