Circuit Implementation of the Jerk Chaotic System in Integer and Fractional Order Domains

Abstract This paper investigate a 3D chaotic oscillator with entire and fractional derivatives. We design an electrical circuit which modelling an autonomous oscillator, able to implement one of the classical Jerk equations. We analyze the dynamics of nonlinear system analytically and numerically. The results show that the fractional model can exhibit chaotic dynamics where it should be impossible if one would consider the classical model. This work also explore the synchronization of initial conditions of two identical Jerk systems through the active control method.