东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2011, Vol. 32 ›› Issue (10): 1394-1397.DOI: -

• 论著 • 上一篇    下一篇

参数未知的统一混沌系统中的混合同步现象

刘洪娟;李亚玲;于海;朱志良;   

  1. 东北大学软件学院;东北大学信息科学与工程学院;
  • 收稿日期:2013-06-19 修回日期:2013-06-19 发布日期:2013-04-04
  • 通讯作者: -
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60872040,10832006);;

Hybrid synchronization in unified chaotic systems with unknown parameters

Liu, Hong-Juan (1); Li, Ya-Ling (2); Yu, Hai (1); Zhu, Zhi-Liang (1)   

  1. (1) School of Software, Northeastern University, Shenyang 110819, China; (2) School of Information Science and Engineering, Northeastern University, Shenyang 110819, China
  • Received:2013-06-19 Revised:2013-06-19 Published:2013-04-04
  • Contact: Zhu, Z.-L.
  • About author:-
  • Supported by:
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摘要： 研究了一种新的混合同步现象,在这种同步模式中,系统的一部分状态正相同步,而其他状态反相同步.主要研究了参数未知的统一混沌系统的混合同步问题,设计了一个简单的单向线性反馈控制器和一个针对未知参数的参数更新律,并基于Lyapunov稳定性理论,提出了一个实现混合同步的充分条件.对统一混沌系统中参数取两个不同值的数值仿真结果表明,所提方法能够实现正反相同步共存的混合同步方案.设计的同步控制方法适用于实现类似混沌系统或超混沌系统的混合同步,具有较强的实际应用价值.

关键词: 参数未知, 统一混沌系统, 混合同步, Lyapunov函数, 参数更新律

Abstract: A new type of hybrid synchronization was studied, in which some of the states are in-phase synchronous and the others are anti-phase synchronous. The hybrid synchronization in the unified chaotic systems with unknown parameters was mainly studied. A simple unidirectional linear controller and a parameter update law were designed to realize the hybrid synchronization between two unified chaotic systems with unknown parameters. Based on Lyapunov stability theory, a sufficient condition for hybrid synchronization was obtained analytically. When two different values of the parameter in the unified chaotic system were selected, numerical simulation results showed that the proposed controller can realize the coexistence of in-phase synchronization and anti-phase synchronization. The controller can be extended to some similar chaotic systems or hyperchaotic systems and has great value in real applications.

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