REDUCED GENERALIZED COMBINATION SYNCHRONIZATION BETWEEN TWO n􀀀DIMENSIONAL INTEGER-ORDER HYPERCHAOTIC SYSTEMS AND ONE m􀀀DIMENSIONAL FRACTIONAL-ORDER CHAOTIC SYSTEM

Abstract

This paper is devoted to investigate the problem of reduced generalized combination synchronization (RGCS) between two n􀀀dimensional integer-order hyperchaotic drive systems and one m􀀀dimensional fractional-order chaotic response system. According to the stability theorem of fractional-order linear system, an active mode controller is proposed to accomplish this end. Moreover, the proposed synchronization scheme is applied to synchronize three different chaotic systems, which are the Danca hyperchaotic system, the modified hyperchaotic Rossler system, and the fractional-order Rabinovich-Fabrikant chaotic system. Finally, numerical results are presented to fit our theoretical analysis.