A general method for synchronizing an integer-order chaotic system and a fractional-order chaotic system

被引：8
|
作者：
Si Gang-Quan [1 ]
Sun Zhi-Yong [1 ]
Zhang Yan-Bin [1 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Elect Engn, State Key Lab Elect Insulat & Power Equipment, Xian 710049, Peoples R China
来源：
CHINESE PHYSICS B | 2011年 / 20卷 / 08期
关键词：
chaos synchronization; integer-order chaotic system; fractional-order chaotic system; fractional calculus; REALIZATION; ATTRACTOR; CIRCUIT;
D O I：
10.1088/1674-1056/20/8/080505
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
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.
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收藏
页数：7
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