Fractional Order Adaptive Synchronization of a New Hyperchaotic System with an Uncertain Parameter

Abstract

This paper investigates the fractional order synchronization of a new hyperchaotic system. Based on the Lyapunov stability theorem, a new type of Lyapunov function is designed to assure the stability of the closed system, and a large number of synchronization methods can received through the different selected fractional order. The feasibility and effectiveness of the proposed hyperchaotic system’s synchronization scheme are verified via numerical simulations.