Anti-synchronization of a class of fractional-order chaotic system with uncertain parameters
Ran Ding1,2, Caoyuan Ma1, Yongyi Zhao1, Yanfang Luo1, Jianhua Liu1
1College of Information and Electrical Engineering, Xuzhou, Jiangsu, 221008, China
2State Grid Jiangsu Electric Company, Nanjing, Jiangsu, 210024, China
In order to pull the fractional-order theory to better application, the detailed of computer numerical simulation of the Adams-Bashforth-Moulton Algorithm is proposed in this paper. Anti-synchronization of a class of fractional-order chaotic system with uncertain parameters is realized on this basis and the stability theorem of the system is presented at the same time. And thus it indicates that this method can be adapted to chaotic system with certain parameters and a class of chaotic system with not equal fractional-order. And corresponding implementation conditions is given as well. Besides, it is pointed out that the method, which unites the synchronization and anti-synchronization is also suitable for synchronization issues of the system. Finally, take classic Lorenz system for instance, track time domain and error map about drive system and response system of anti-synchronization are given. The results prove the effectiveness of the control method in the realization of anti-synchronization of a class of fractional-order chaotic system with uncertain parameters and the feasibility of fractional order computer numerical simulation