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

被引：0
|
作者：
司刚全 [1 ]
孙志勇 [1 ]
张彦斌 [1 ]
机构：
[1] Key Laboratory of Electrical Insulation and Power Equipment,School of Electrical Engineering,Xi’an Jiaotong University
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;
D O I：
暂无
中图分类号：
O415.5 [混沌理论];
学科分类号：
070201 ;
摘要：
This paper investigates the synchronization between integer-order and fractional-order chaotic systems.By intro-ducing 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.
引用
收藏
页码：110 / 116
页数：7
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