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分数阶混沌系统与整数阶混沌系统之间的同步
引用本文:周平,邝菲.分数阶混沌系统与整数阶混沌系统之间的同步[J].物理学报,2010,59(10):6851-6858.
作者姓名:周平  邝菲
作者单位:重庆邮电大学应用物理研究所,重庆,400065
摘    要:基于追踪控制的思想,利用分数阶系统稳定性理论,实现了分数阶混沌系统与整数阶混沌系统之间的混沌同步,给出了补偿器和反馈控制器的选择方法.以三维分数阶Chen系统和三维整数阶Lorenz混沌系统之间的混沌同步为例进行了数值仿真和电路仿真.研究表明了该同步方法的有效性。

关 键 词:分数阶混沌系统  整数阶混沌系统  混沌同步  追踪控制
收稿时间:2009-12-12

Synchronization between fractional-order chaotic system and chaotic system of integer orders
Zhou Ping,Kuang Fei.Synchronization between fractional-order chaotic system and chaotic system of integer orders[J].Acta Physica Sinica,2010,59(10):6851-6858.
Authors:Zhou Ping  Kuang Fei
Institution:Institute of Applied Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;Institute of Applied Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
Abstract:Based on the idea of tracking control and the stability theory of linear fractional-order system, chaotic synchronization between fractional-order chaotic system and chaotic system of integer orders is proposed. A compensation controller and a feedback controller are given. Synchronization between the fractional-order Chen chaotic system and the Loren chaotic system of integer orders is used to illustrate the effectiveness of the proposed synchronization approach. Numerical and circuit simulations coincide with the theoretical analysis.
Keywords:fractional-order chaotic system  chaotic system of integer orders  chaotic synchronization  tracking control
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