超混沌系统脉冲同步及其应用

Impulsive synchronization of super-chaotic system and its application

研究了采用脉冲同步理论解决混沌系统的同步问题,并利用脉冲同步方法构造超混沌脉冲同步系统.根据同步渐进稳定性条件作为前提对系统进行数值仿真.采用同步误差的线性反馈作为脉冲信号,结合谱半径的稳定性定理采用合适的脉冲周期对系统进行了同步仿真实验.实现了超混沌系统的同步.并以正弦信号为例进行了信号传输的实验,进一步在加入白噪声的情况下考察了其同步效果.仿真效果表明,该方法具有较好的鲁棒性和抗噪能力,是对传统同步方法的改进和优化,具有一定的实际应用价值.

This paper mainly introduces the basic chaotic impulsive synchronous theory, and utilizes this kind of synchronous method to construct super-chaotic impulsive synchronous system. The synchronization error of linear feedback is used as impulsive signal. Combining the stability theorem of spectrum, the suitable impulsive cycle is chosen for the synchronization simulation experiment. According to the given synchronous-gradually-stability condition. The system is simulated and the consequence to the transmission of sine-signal is applied. Moreover, the white noise is added to the system. Simulation result shows that this method possesses pretty good character on the aspect of robust and resisting the noise.