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超晶格量子阱光学双稳态系统的全局分叉与混沌行为
引用本文:但伟,赵忠国,曾庆高.超晶格量子阱光学双稳态系统的全局分叉与混沌行为[J].中国电子科学研究院学报,2008,3(1):30-33.
作者姓名:但伟  赵忠国  曾庆高
作者单位:1. 重庆光电技术研究所,重庆,400060
2. 重庆特种设备质量安全检测中心,重庆,400020
摘    要: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.

关 键 词:量子阱  正弦平方势  超晶格  摆方程  超晶格  量子阱  光学双稳态  双稳态系统  全局分叉  混沌行为  Superlattice  State  Optic  Chaotic  理论  设计  器件  控制混沌  调节  参数  临界条件  结果  临界值  过级
文章编号:1673-5692(2008)01-030-04
收稿时间:2007-12-19
修稿时间:2008-01-08

The Global Bifurcation and Chaotic Behaviours of Optic Biastable State for Superlattice Qautum Well
DAN Wei,ZHAO Zhong-guo,ZENG Qing-gao.The Global Bifurcation and Chaotic Behaviours of Optic Biastable State for Superlattice Qautum Well[J].Journal of China Academy of Electronics and Information Technology,2008,3(1):30-33.
Authors:DAN Wei  ZHAO Zhong-guo  ZENG Qing-gao
Abstract: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.
Keywords:quantum well  sine-squared potential  superlattice  pendulum equation
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