一类分数阶超混沌系统的同步及其应用

J4 ›› 2013, Vol. 35 ›› Issue (1): 166-170.

一类分数阶超混沌系统的同步及其应用

谭文1，蒋逢灵1，王耀南2，刘贤群1，伍丰1

(1.湖南科技大学信息与电气工程学院，湖南湘潭 411201；
2.湖南大学电气与信息工程学院，湖南长沙 410082）

收稿日期:2012-01-04 修回日期:2012-03-08 出版日期:2013-01-25 发布日期:2013-01-25
作者简介:谭文(1968),男，湖南益阳人，博士，教授，研究方向为智能控制和模式识别。
基金资助:
国家自然科学基金重点资助项目（60835004,1101053）；湖南省自然科学基金资助项目（09JJ3117）；教育部重点资助项目（211118）；湖南省教育厅优秀青年基金资助项目（10B002）；湖南省科技计划资助项目（B11125）

Synchronization for a class of fractionalorder hyperchaotic system and its application

TAN Wen1,JIANG Fengling1,WANG Yaonan2,LIU Xianqun1,WU Feng1

(1.College of Information and Electrical Engineering,
Hunan University of Science and Technology,Xiangtan 411201;
2.College of Electrical and Information Engineering,Hunan University,Changsha 410082,China)

Received:2012-01-04 Revised:2012-03-08 Online:2013-01-25 Published:2013-01-25

摘要/Abstract

摘要：

应用分数阶微积分稳定性理论，提出了一类分数阶超混沌系统同步控制的新方法，通过在分数阶超混沌响应系统中设计两个控制器，实现了分数阶超混沌Chen系统之间的同步。并将该方案应用到保密通信中，利用混沌掩盖技术，实现了复杂非周期信号的安全传送，在接收端通过去掩盖，毫无失真地恢复了有用传送信号。数值仿真和理论分析结果的一致性表明了该方案的有效性和可行性。

关键词: 分数阶超混沌系统；混沌同步；保密通信

Abstract:

Using the stability theory of fractional calculus, the paper proposes a new control method for the synchronization of the fractionalorder hyperchaotic system. In the paper, the synchronization between two identical fractionalorder Chen hyperchaotic systems is realized by designing only two suitable controllers in the response system. Furthermore, this control scheme can be used in secure communication via the technology of chaotic masking using the complex nonperiodic information as trial message, and the useful information can be recovered at the receiver. Numerical simulations coincide with the theoretical analysis results, demonstrating the effectiveness and feasibility of the proposed method.

Key words: fractionalorder hyperchaotic system;chaos synchronization;secure communication

谭文1，蒋逢灵1，王耀南2，刘贤群1，伍丰1. 一类分数阶超混沌系统的同步及其应用[J]. J4, 2013, 35(1): 166-170.

TAN Wen1,JIANG Fengling1,WANG Yaonan2,LIU Xianqun1,WU Feng1. Synchronization for a class of fractionalorder hyperchaotic system and its application[J]. J4, 2013, 35(1): 166-170.