改进恒Lyapunov指数谱混沌系统的广义投影同步研究

对改进恒Lyapunov指数谱混沌系统的广义投影同步进行了研究.用主动控制同步法设计合适的非线性反馈控制器，通过单向耦合，实现恒指数谱混沌系统的同结构广义投影同步与异结构广义投影同步.在指出广义投影同步体系中比例因子调节作用的同时，也分析了改进恒指数谱混沌系统的全局线性调幅参数对同步体系中两个系统的作用.基于模块与复用的设计思想，详细分析并构建了广义投影同步体系中的驱动系统、控制系统与响应系统.数值仿真与电路实验仿真一致显示：调节比例因子能够获得任意比例于原驱动混沌系统输出的混沌信号；调节全局线性调幅参数，能够同时线性调整同步体系中两个系统输出的状态变量的幅值，而不影响两个系统之间的广义投影同步. 关键词： 改进恒Lyapunov指数谱混沌系统 广义投影同步 比例因子 全局线性调幅参数

Study on the generalized projective synchronization of improved invariable-Lyapunov-exponent-spectrum chaotic system

The generalized projective synchronization of improved invariable-Lyapunov-exponent-spectrum chaotic system is studied. The appropriate nonlinear feedback controllers are designed by an active control method for synchronization of two chaotic systems with the same or different structures. The effectiveness of scaling factor and global linear amplitude adjuster in the generalized projective synchronization system is analyzed. The driving, control and response subsystems of the synchronization system are analyzed in detail and constructed based on modularization and reusing. Numerical simulation and circuit experiment simulation all show that any scale signal of driving system state variable can be obtained by adjusting the scaling factor. When the global linear amplitude adjuster is changed, the state variables of driving system and response system are modulated synchronously in linearity while the generalized projective synchronization between the two systems is not influenced.