慢变振幅与双频激励超晶格系统的稳定性

Slowly varying amplitude and stability of superlattice with dual frequency excitation

摘要:

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。

Abstract:

The effect of sawtooth type channel on the strained superlattice is equivalent to the periodic modulation of similar shape, and the effects on the system stability by dual frequency excitation are considered. In the framework of classical mechanics and the small amplitude approximation, the particle motion equation is reduced to generalized Duffing equation with slowly varying excitation amplitude. The resonance behaviours of the system are analyzed by using perturbed method, and bifurcation is discussed by average method. The results show that instability of the system is related to parameters, and by appropriate adjusting parameters, the system instability can be suppressed or avoided in principle.