A necessary and sufficient condition for anti-synchronization of a class of chaotic systems

被引：0
|
作者：
Ren L. [1 ]
Guo R. [1 ]
Vincent U.E. [2 ,3 ]
机构：
[1] School of Science, Qilu University of Technology, Jinan
[2] Department of Physical Sciences, Redeemer’s University, Redemption City
[3] Department of Physics, Lancaster University, Lancaster
来源：
International Journal of Dynamics and Control | 2017年 / 5卷 / 4期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Adaptive control; Anti-synchronization; Chaos; Hyperchaos; Synchronization;
D O I：
10.1007/s40435-016-0278-2
中图分类号：
学科分类号：
摘要：
We investigate anti-synchronization for a class of chaotic systems; and propose a necessary and sufficient condition with which one can determine whether anti-synchronization of a given chaotic system can be realized or not. This condition is general and when satisfied would guarantee the simultaneous synchronization and anti-synchronization of a master–slave chaotic system. Furthermore, by extending the existing adaptive control method, an adaptive control algorithm has been designed to achieve the anti-synchronization. The efficiency and effectiveness of this method have been verified with several simulations using three different chaotic and hyperchaotic systems. © 2016, Springer-Verlag Berlin Heidelberg.
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页码：1252 / 1261
页数：9
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