摘要
非线性动力系统同步的稳定性一般由条件Lyapunov指数来决定,文中提出了一种简捷确定两个同构的系统稳定性的方法,主要是通过判定两个同构系统的误差渐近稳定性来确定,这样就避免繁琐计算Lyapunov指数．将该设计方法应用于两个Lorenz系统同步,仿真结果表明, 该方法方便可行,有效地实现了混沌同步控制,并通过加密语音文件实例来证明该方案具有较好的同步特性和较高的安全性．
Conditional Lyapunov exponents usually determine the stability of nonlinear dynamical systems＇ synchronization. This paper proposes a brief method of two homogenous systems＇ stabilization by judging the error asymptotic stability, in order to avoid fussy calculation of Lyapunov exponent. The simulation results of its application to two Lorenz systems synchronization show that the method realizes the chaos synchronized control effectively, and is easy and feasible. This chaos synchronization theory is applied to sound file, and shows good synchronization properties and high security.
出处
《江西理工大学学报》
CAS
2006年第3期34-37,共4页
Journal of Jiangxi University of Science and Technology
基金
江西省科技厅(赣财教[2005]132号)
江西省教育厅(赣教技字[2005]148号)联合资助项目
