简单分段线性混沌系统与SETMOS混沌系统的自适应广义同步

J4 ›› 2012, Vol. 29 ›› Issue (1): 74-79.

简单分段线性混沌系统与SETMOS混沌系统的自适应广义同步

刘保军, 蔡理, 冯朝文

空军工程大学理学院，陕西西安 710051

收稿日期:2010-12-27 修回日期:2011-08-30 出版日期:2012-01-28 发布日期:2012-01-28
通讯作者: 蔡理（1959-），女，福建永春人，教授，博士，研究方向为微纳电子器件与电路系统 E-mail:qianglicai@163.com
作者简介:刘保军（1984-）山西大同人，博士生，研究方向为微纳电子器件与电路系统，Email: liubaojun102519@sina.com
基金资助:
This work was supported in part by the National Science Foundation of China under Grant No. 61172043, in part by the Key Program of Shaanxi Provincial Natural Science for Basic Research under Grant No. 2011JZ015, in part by Research Fund of Shaanxi Key Laboratory of Electronic Information System Integration under Grant No. 201115Y15.

Adaptive generalized synchronization of simple piecewise linear chaotic system and SETMOS chaotic system

Liu Baojun, Cai Li, Feng Chaowen

Institute of Science, Air Force Engineering University, Xi’an 710051, China

Received:2010-12-27 Revised:2011-08-30 Published:2012-01-28 Online:2012-01-28

摘要/Abstract

摘要：

研究了基于SETMOS构成的、参数未知的类双涡卷混沌系统与结构不同的简单分段线性混沌系统的广义自适应同步方法。通过分析混沌系统的特点和广义同步的定义，基于李雅普诺夫稳定性理论，提出了一种新颖的、结构简单的自适应控制器和参数更新律，来实现不同结构、驱动系统参数未知的混沌系统的广义同步。这种方法还可以应用于不同结构或相同结构的其他同步问题，如自适应广义反同步等，应用范围较广。仿真结果进一步证实了该方法的有效性和可行性。

关键词: 非线性光学, 自适应广义同步, 数值仿真, SETMOS, 参数未知

Abstract:

The generalized synchronization of different structure chaotic systems based on SETMOS with unknown parameters，double-scroll-like chaotic system and simple piecewise linear chaotic system is investigated with respect to an assumed function. By analyzing characters of the chaotic systems and the definition of the generalized synchronization, based on Lyapnuov stability theorem, novel and simple adaptive controllers and corresponding parameter update law are proposed for generalized synchronization of different chaotic systems with unknown parameters. Further, if the function is changed, the theory can also be applied for other synchronization for different structure chaotic systems, such as adaptive generalized anti-synchronization. Numerical simulation results are provided to show the effectiveness and feasibility of the proposed theory.

Key words: nonlinear optics, adaptive generalized synchronization, numerical simulation, SETMOS, unknown parameter

中图分类号:

TN918

刘保军蔡理冯朝文. 简单分段线性混沌系统与SETMOS混沌系统的自适应广义同步[J]. J4, 2012, 29(1): 74-79.

Liu Baojun, Cai Li, Feng Chaowen. Adaptive generalized synchronization of simple piecewise linear chaotic system and SETMOS chaotic system[J]. J4, 2012, 29(1): 74-79.

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