将应变超晶格锯齿型沟道的影响等效为形状相似的周期调制,并考虑了双频激励对系统稳定性的影响。在经典力学框架内和小振幅近似下,把双频激励的粒子运动方程化为具有慢变振幅的广义Duffing方程。用摄动法分析了系统的共振现象,用平均法讨论了系统的分叉行为。结果表明,系统的不稳定性与参数有关,适当调节参数可以原则上抑制或规避系统的不稳定性。 The effect of strained superlattice zigzag-type channel is equivalent to the periodic modulation of similar shape, and the influence of dual-frequency excitation on system stability is considered. In the framework of classical mechanics and small amplitude approximation, the dual-frequency excited particle motion equation is transformed into a generalized Duffing equation with slowly varying amplitude. The perturbation method is used to analyze the resonance of the system, and the averaging method is used to discuss the bifurcation behavior of the system. The results show that the instability of the system is related to the parameters. Proper adjustment of the parameters can restrain or evade the instability of the system in principle.