中国物理B ›› 2011, Vol. 20 ›› Issue (8): 80505-080505.doi: 10.1088/1674-1056/20/8/080505
司刚全, 孙志勇, 张彦斌
Si Gang-Quan(司刚全), Sun Zhi-Yong(孙志勇)†, and Zhang Yan-Bin(张彦斌)
摘要: This paper investigates the synchronization between integer-order and fractional-order chaotic systems. By introducing fractional-order operators into the controllers, the addressed problem is transformed into a synchronization one among integer-order systems. A novel general method is presented in the paper with rigorous proof. Based on this method, effective controllers are designed for the synchronization between Lorenz systems with an integer order and a fractional order, and for the synchronization between an integer-order Chen system and a fractional-order Liu system. Numerical results, which agree well with the theoretical analyses, are also given to show the effectiveness of this method.
中图分类号: (Numerical simulations of chaotic systems)