非线性抛物线势与量子阱双稳态系统的稳定性

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经典Duffing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,给出了系统进入混沌的临界条件值.结果表明,只要参数满足临界务件,系统就是"数学"稳定的.考虑到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,混沌就可以得以避免或控制,这为光学双稳态器件的制备和稳定工作提供理论依据.

Abstract：

Based on the bistable effect of the superlattice quantum well, the particle motion equation is reduced to the classical Dulling equation in the classical mechanics frame. The chaotic behaviors with the Smale horseshoe are analyzed by Melnikov method. The critical condition approaching to chaos is found. It is shown that the system is stable if the critical condition is satisfied, because the critical condition entered in a chaos is related to the parameters of the system, provided regulating a parameters of the system, the chaos can be avoided or controlled. The theoretical analysis is provided to the design of optical bistable stable cells.

Nonlinear Parabolic Potential and Stabilities of Bistable System for Superlattice Quantum Well

Based on the bistable effect of the superlattice quantum well, the particle motion equation is reduced to the classical Dulling equation in the classical mechanics frame. The chaotic behaviors with the Smale horseshoe are analyzed by Melnikov method. The critical condition approaching to chaos is found. It is shown that the system is stable if the critical condition is satisfied, because the critical condition entered in a chaos is related to the parameters of the system, provided regulating a parameters of the system, the chaos can be avoided or controlled. The theoretical analysis is provided to the design of optical bistable stable cells.