时滞复Lorenz混沌系统特性及其自时滞同步  

Characteristics of time-delay complex Lorenz chaotic system and its self-synchronization of time delay

作　　者：张芳芳[1] 刘树堂[1] 余卫勇[1] 

机构地区：[1]山东大学控制科学与工程学院,济南250061

出　　处：《物理学报》2013年第22期60-68,共9页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:61273088;10971120;61001099);山东省自然科学基金(批准号:ZR2010FM010)资助的课题~~

摘　　要：自时滞同步是指保持混沌系统结构和参数不变的情况下,使时滞系统和原系统同步,从而避免了现实中因为时滞而产生的各种问题.本文以时滞复Lorenz系统为例,研究其动态特性及时滞因数的影响,并提出了一种非线性反馈控制器实现了复Lorenz系统的自时滞混沌同步.数值仿真结果验证了该控制器的有效性.该控制器只对部分状态进行控制,实现了所有状态的同步,原理简单,易于工程实现.Self-synchronization of time delay implies that the synchronization between the time-delay system and the original system keeps the structure and parameters of systems unchanged, thus these various problems produced by time-delay in practice are avoided. Taking a time-delay complex Lorenz system for example, we investigate its dynamic characteristics and the influence of of time lag factor. A nonlinear feedback controller is designed to realize the self-synchronization of time delay of the complex Lorenz system. Numerical simulations verify the effectiveness of the presented controller. The controller adopts some states to realize the synchronization of all states. It is simple in principle and easy to implement in engineering.

关 键 词：时滞系统 复混沌系统 自时滞同步 LYAPUNOV指数 

分 类 号：O415.5[理学—理论物理]