超混沌系统反馈控制耦合同步

Coupled Synchronization for Feedback Control Hyper-chaotic Systems

基于混沌系统的最大Lyapunov指数与耦合同步增益的关系,确定一大类混沌系统的线性耦合同步时,反馈控制系数需要满足的取值范围,该种新型的判别方法简单而且在工程上易于实现.由于超混沌系统在保密通信中具有更强的抗破译能力,因而考虑以超混沌Chen系统以及超混沌Q i系统为例,数值模拟结果验证了该方法的有效性以及普适性.

Based on the relation between the largest Lyapunov exponent of chaos systems and the control coefficients through linear feedback controlled, some new sufficient conditions of stability for linearly coupled chaotic synchronization are attained. This work is applied to attain chaos synchronization for two identical new hyper-cbaotic Chen systems and for two identical new hyper-chaotic systems with any initial conditions. Numerical simulations are shown to verify the effectiveness of the chaos synchronization method.