双频激励下超晶格系统的混沌行为

假设超晶格“折沟道”对粒子的作用等效为形状相似的周期调制； 引入正弦平方势， 在小振幅近似下， 把粒子运动方程化为具有双频激励的Duffing方程。 用Melnikov方法分析了系统的混沌行为。 结果表明， 当外场为双频激励时， 系统将存在不同的次谐和超次谐分叉序列。 由于系统的混沌行为与系统参数有关， 于是， 只需控制材料组分、 或掺杂浓度， 就可望达到避免或控制混沌的目的， 为半导体超晶格的制备及其光磁电效应提供了理论分析。

Chaotic Behaviour of Superlattice with Dual Frequency Excitation

It is assumed that a periodic modulation is equivalent to deflected channel of the superlattice.In the small amplitude approximation the particle motion equation is simplified to the Duffing equation with a hard-spring properties by using sine-squared potential.The chaotic behaviour is analysed by Melnikov method.It shows that the sub-harmonic bifurcation and the super-sub-harmonic bifurcation are presented in the system,the chaos can be controlled by controlling the parameters of the system.The result provided a theoretical analysis for the study of the photo-magneto-electric effects of superlattice.