Lorenz混沌系统的一种广义同步方法

An approach of generalized synchronization of Lorenz chaotic system

提出了一种适合于Lorenz混沌系统的非线性关系的广义同步方法.通过将Lorenz混沌系统拆分为线性和非线性两部分,并对响应系统添加适当的反馈控制,将Lorenz混沌系统的广义同步问题转化为线性的混沌同步误差系统的稳定性问题,并可以通过配置混沌同步误差系统的极点位置来改善广义同步性能和同步时间.仿真结果表明,该方法实现了Lorenz混沌系统的广义同步.

The nonlinear generalized synchronization is presented to realize generalized synchronization of Lorenz chaotic systems. When the Lorenz chaotic systems are divided into linear and nonlinear parts, the question of generalized synchronization can be transformed into the stability question of a synchronous error system by adding proper feedback control. Further the performance of generalized synchronization can be improved according to configuration of poles. Numerical results demonstrate the effectiveness of prossed control scheme.