应变超晶格中粒子运动的混沌不稳定性  

Chaos Instability of Particle Motion in Strained Superlattices

作　　者：王娜[1] 罗诗裕[2] WANG Na;LUO Shiyu(Automation College, Guangdong Polytechnic Normal University, Guangzhou 510000, CHN;School of Science, Chongqing Jiaotong University, Chongqing 400074, CHN)

机构地区：[1]广东技术师范学院自动化学院,广州510000 [2]重庆交通大学理学院,重庆400074

出　　处：《半导体光电》2018年第3期381-384,共4页Semiconductor Optoelectronics

摘　　要：利用Fourier展开,将应变超晶格中的粒子运动问题转化为多频激励的摆方程问题。用Melnikov方法和Lyapunov方法讨论了系统的稳定性,并对双频激励和单频激励进行了具体分析。结果表明,多频激励系统可通过奇阶次谐分叉进入混沌;当阻尼系数比较大或激励强度比较弱时系统是稳定的。The problem of particle motion in strained superlattices is transformed into a pendulum equation under multi-frequency excitation using Fourier expansion.The stability of the system is discussed with Melnikov method and Lyapunov method,and the dual frequency excitation and single frequency excitation are analyzed in detail.The results show that the multifrequency excitation system can enter the chaos via the odd-order subharmonic bifurcation,and the system is stable when the damping coefficient is relatively large or the excitation intensity is relatively weak.

关 键 词：应变超晶格 多频激励 MELNIKOV方法 LYAPUNOV指数 稳定性 

分 类 号：O73[理学—晶体学]