超混沌Liu系统的非线性反馈混合追踪同步  

Nonlinear Feedback Hybrid Tracking Synchronization of the Hyperchaotic Liu System

作　　者：陈彦飞[1] 贾贞[1,2] 

机构地区：[1]桂林理工大学理学院,广西桂林541004 [2]广西空间信息与测绘重点实验室,广四桂林541004

出　　处：《信阳师范学院学报（自然科学版）》2012年第2期169-171,181,共4页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(61164020);广西自然科学基金项目(2011GXNSFA018147);广西空间信息与测绘重点实验室项目(桂科能1103108-24)

摘　　要：在驱动—响应系统的框架下,提出了一种新的混沌同步形式——混合追踪同步.这种同步要求响应系统的维数大于驱动系统的维数,它实现了响应系统的部分变量与驱动系统的同步,同时其余变量追踪到指定的状态函数.基于非线性反馈控制技术研究了超混沌Liu系统的混合追踪同步.运用Lyapunov稳定性定理从理论上证明了结论,并通过数值仿真验证了所给方法的有效性.A new type of chaos synchronization,the hybrid tracking synchronization,was proposed under the framework of drive-response systems.The hybrid tracking synchronization requires that the dimensions of response system are greater than that of the drive system.It realized the synchronization for part of the variables of the response system and the drive system with the other variables tracked to the given state function simultaneously.Based on the nonlinear feedback control technique,the hybrid tracking synchronization of hyperchaotic Liu system was investigated.The Lyapunov stability theorem was used to draw the conclusion and the numerical simulations were given to demonstrate the effectiveness of the proposed method.

关 键 词：混合追踪同步 超混沌Liu系统 反馈控制 驱动系统 

分 类 号：O415.5[理学—理论物理]