The fractional-order unified chaotic system: A general cascade synchronization method and application

Abstract

In this paper, we extend the cascade synchronization of integer-order chaotic systems to function cascade synchronization of fractional-order chaotic systems. The nice feature of our method is that a fractional-order chaotic system will synchronize to another system via a scaling function. The rich choices of the scaling function turn our method more general than some existing methods. As applications, we take a fractional-order unified chaotic system as an illustrative example to test the effectiveness.

Keywords

• synchronization
• chaos synchronization
• cascade synchronization
• fractional-order unified chaotic system