中文摘要：

对于非线性Duffing方程,建立了相应的派生系统,证明了派生系统可以与原Duffing系统实现完全同步.通过同步,可以识别出激振信号中的微小差别.在实际仿真计算中,在系统出现混沌运动时,对于相同的激振信号,会出现同步;对于有很小差别的信号,不会出现同步.在拟周期激励时,信号的振幅有微小差别也不会出现同步.计算结果证明了此方法的有效性.

英文摘要：

For nonlinear Duffing system, a derived synchronization system is built and the method is proved. By the synchronization, the faint difference in stimulating signal of Duffing system can be detected. In simulation, when there occurs chaos in the original system, the responses of the original and derived system will exhibit synchronization for identical input signal and nonsynchronization for different input signal. When the system is in quasi-periodic motion, the synchronization is still sensitive to the faint variation in the input signal. The simulation results prove the effectiveness of the method.