超混沌Liu系统的非线性反馈混合追踪同步

基金项目:

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)

Nonlinear Feedback Hybrid Tracking Synchronization of the Hyperchaotic Liu System

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
- 混合追踪同步 /
- 超混沌Liu系统 /
- 反馈控制 /
- 驱动系统
Abstract: 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
- hybrid tracking synchronization /
- hyperchaotic Liu system /
- feedback control /
- drive system

[1]	贾贞，陆君安，邓光明．超混沌Lü 系统的非线性反馈自适应同步［J］．系统工程与电子技术，2
[2]	杨丽新，何万生，刘晓君．基于自适应控制的非自治混沌系统的参数识别［J］．信阳师范学院学报: 自然科学版，2
[3]	田现东，卢殿臣． Genesio-Tesi 系统的耦合混沌同步［J］．信阳师范学院学报: 自然科学版，2