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基于超晶格量子阱的双稳态效应,在经典力学框架内,把粒子的的运动方程化为了具有阻尼项和受迫项的广义摆方程。利用Melnikov方法构造了异宿轨道的Melnikov函数,并根据Melnikov函数有简单零点的条件,找到了系统进入Smale马蹄变换意义上的混沌临界值。结果表明,系统进入Smale马蹄意义下的混沌临界条件与它的具体参数有关,只需适当调节参数,混沌便可以原则上控制或避免,为掺杂超晶格作为光学双稳态器件的可能性提供了理论分析。
Based on the bistable effect of the superlattice quantum well, the motion equation of the particle is transformed into the generalized pendulum equation with damping term and forced term in the classical mechanics framework. The Melnikov function of heteroclinic orbit is constructed by using Melnikov method. According to the condition that Melnikov function has a simple zero point, the critical value of chaos in the sense of Smale horseshoe transformation is found. The results show that the critical condition of chaos in the system of entering Smale horseshoe is related to its specific parameters. The chaos can be controlled or avoided in principle only by adjusting the parameters properly. The possibility of doping superlattices as optical bistable devices Provided a theoretical analysis.