A New Piecewise Fractional-order Chaotic System and Its Successive Mismatch Synchronization

摘要

In this paper a new piecewise fractional-order chaotic system is found, which is named as PFLS (piecewise fractional-order Lorenz-Stenflo) system. Chaos can exist in PFLS system with order as low as 3.44. And then the new successive mismatch synchronization method is proposed for the PFLS chaotic system. The method can direct the state vectors between the drive system and response system to synchronize in disorder. The idea is firstly applied to fractional-order chaotic systems. Based on Laplace transformation theory, the controller of mismatch synchronization is designed for 3.6-order PFLS system. Simulation results are presented to demonstrate the effectiveness of the proposed method.