Compound Generalized Function Projective Synchronization for Fractional‐Order Chaotic Systems

Abstract

A modified function projective synchronization for fractional‐order chaotic system, called compound generalized function projective synchronization (CGFPS), is proposed theoretically in this paper. There are one scaling‐drive system, more than one base‐drive system, and one response system in the scheme of CGFPS, and the scaling function matrices come from multidrive systems. The proposed CGFPS technique is based on the stability theory of fractional‐order system. Moreover, we achieve the CGFPS between three‐driver chaotic systems, that is, the fractional‐order Arneodo chaotic system, the fractional‐order Chen chaotic system, and the fractional‐order Lu chaotic system, and one response chaotic system, that is, the fractional‐order Lorenz chaotic system. Numerical experiments are demonstrated to verify the effectiveness of the CGFPS scheme.