利用周期信号驱动Chua电路实现相同步

我们在实验上和理论上对周期信号驱动的混沌电路的相同步问题进行了研究。我们选择三类周期信号作为驱动信号，包括Chua电路产生的周期信号，正弦信号和脉冲信号。改变驱动信号的频率、振幅和脉冲信号的占空比，在周期信号和混沌信号存在小的频率失配的条件下，驱动信号的振幅在适当的变化范围内，以及脉冲信号的占空比在适当的变化范围内，都可以获得相同步。甚至当占空比小到3%的情况下，仍然可以得到相同步。特别是这类脉冲信号的控制在实际中是有意义的。

Phase synchronization of Chua circuit induced by the periodic signals

Phase synchronization of chaotic systems induced by periodic signals is studied experimentally and numerically. Three kinds of periodic signals are chosen to drive Chua circuits, including the periodic signal in the Chua circuit, sinusoidal and pulsed signals. Under conditions of small mismatch between the natural frequencies of the periodic and the chaotic signals,appropriate amplitudes of the driving signals, and appropriate duty cycles of the pulse, phase synchronization can be achieved. Even when the duty circle reduces to 3{\%}, it can still drive the chaotic signals into phase synchronization, which is interesting for applications.