Chaos synchronization of a fractional nonautonomous system

Abstract

In this paper we investigate the dynamic behavior of a nonautonomous fractional-order biological system. With the stability criterion of active nonlinear fractional systems, the synchronization of the studied chaotic system is obtained. On the other hand, using a Phase-Locked-Loop (PLL) analogy we synchronize the same system. The numerical results demonstrate the effectiveness of the proposed methods.