超晶格量子阱光学双稳态系统的全局分叉与混沌行为

The Global Bifurcation and Chaotic Behaviours of Optic Biastable State for Superlattice Qautum Well

基于超晶格量子阱的双稳态效应,在经典力学框架内,把粒子的运动方程化为了具有阻尼项和受迫项的摆方程。利用Melnikov方法分析了系统的全局分叉与Smale马蹄变换意义上的混沌行为,给出了系统通过级联分叉进入混沌的临界值。结果表明,系统进入混沌的临界条件与它的参数有关,只需适当调节这些参数就可以避免或控制混沌,为光学双稳态器件的设计提供了理论分析。

The particle motion equation is reduced to the pendulum equation with a dampping and a force terms in the classical mechanics frame based on the bistable state effect of the superlattice quantum well. The global bifurcation and a chaotic behaours with the Smale horseshoe are analysed by Melnikov method. The critical condition through to a chaos based on a cascade bifurcation is found. It shows that the critical condition entered in a chaos is related to the parameters of the system, provides regulating a parameters of the system, the chaos can be avoided or controlled. The theoretical analyse is provided to the design of the optical biastable stable cell.