一类混沌系统脉冲同步研究

Impulsive synchronization for class of chaotic systems

针对实际应用中两混沌系统同步可能遇到的问题,利用脉冲同步提出了新的同步解决方案。基于脉冲微分方程理论给出了一类混沌系统脉冲控制同步的充分条件以及系统渐进稳定的充分条件。最后,通过计算机仿真对蔡氏电路的脉冲同步进行了仿真,并验证了本研究方法的有效性。研究结果表明,该方法适用于蔡氏电路,容易得到相应的同步条件并可对脉冲同步时间间隔进行估计。

To solve the problems of couple chaos＇ system synchronization in application,a new method was presented by impulsive synchronization.Based on the impulsive theory,verified criterion for the system＇s impulsive synchronization was derived easily.A sufficient condition for asymptotic stability was presented.Moreover,the equidistant impulse interval was also estimated.Some experimental results on impulsive synchronization between two Chua＇s circuits were presented and the effectiveness of our method was shown by computer simulation.The research results show that the proposed method is fit for the original Chua oscillators,and the corresponding synchronization conditions were easy to obtain.