Synchronization for fractional order hyperchaotic Chen system and fractional order hyperchaotic Rssler system with different structure

Abstract

There is larger key space in fractional order hyperchaotic systems (FOHS), however, the FOHS with different structures are more common in the field of secret communication. Therefore, it is important to study the synchronization method of the system. In this paper, the synchronization between two different FOHS is investigated. i.e., the Chen FOHS and the Rssler FOHs. Based on the fractional order stability theory, two different controllers are designed for synchronizing the drive system and the response system. When the parameters are known in advance, active control synchronization is adopted, the method is simple without constructing any special function. When the parameters are fully unknown, a adaptive control law and a parameter update rule are introduced. Numerical simulations are presented to verify the effectiveness and the feasibility of the synchronization scheme.