单模NH3分子激光器中混沌运动特性分析  

Analysis of Chaotic Behavior in Single Mode NH3 Molecular Laser

作　　者：康杰 雷腾飞 丁紫阳 李连荣[1] 孙为云 KANG Jie;LEI Tengfei;DING Ziyang;LI Lianrong;SUN Weiyun(Zhengzhou Technical College,Zhengzhou 450121,China;Qilu Institute of Technology,Jinan 250200,China)

机构地区：[1]郑州职业技术学院,河南郑州450121 [2]齐鲁理工学院,山东济南250200

出　　处：《河南科技》2023年第12期4-8,共5页Henan Science and Technology

基　　金：山东省自然科学基金项目“分数阶时滞电力系统的混沌机理分析与控制研究”(ZR2017PA008)。

摘　　要：【目的】考查单模NH3分子激光器系统双参数变化下的复杂度(C_(0)),研究该系统周期与混沌运动关系,为激光混沌在加密及光纤通信中的应用研究提供理论依据。【方法】以Lorenz-Haken系统为研究对象,建立单模NH3分子激光器系统混沌吸引子相图,从而对整个系统吸引子有直观认识。从数值仿真出发,用Matlab软件来构建激光系统分岔图、Lyapunov指数、复杂度(C_(0))等基本动力学行为图,分析不同参数变化对单模NH3分子激光器系统的影响。【结果】对单模NH3分子激光器系统,从复杂度(C_(0))来看,系统处于周期状态时,其复杂度(C_(0))较小;系统处于混沌状态时,其复杂度(C_(0))较大。双参数变化对混沌系统影响的结果表明,该系统参数是相互制约的,且系统受参数的影响程度较大。【结论】参数a对单模NH3分子激光器系统影响强度大,充分体现单模NH3分子激光器系统混沌特性及该系统对参数的敏感性。[Purposes]Through examining the complexity(C_(0))of the a single mode NH3 molecular laser system under dual parameter changes,the relationship between the system period and chaotic motion is studied,which provides a theoretical basis for the application of laser chaos in encryption and optical fiber communication.[Methods]Taking Lorenz-Haken system as the research object,the chaotic attractor phase diagram of single-mode NH3 molecular laser system is established,so as to have an intuitive understanding of the attractor of the whole system.From the aspect of numerical simulation,Matlab software is used to construct the basic dynamic behavior diagrams of laser system such as bifurcation diagram,Lyapunov exponent and complexity(C_(0)),and analyze the influence of parameters on single-mode NH3 molecular laser system.[Findings]For the single-mode NH3 molecular laser system,when the system is in the periodic state,its complexity(C_(0))is small.When the system is in a chaotic state,its complexity(C_(0))is large.The results of the influence of two parameters on the chaotic system show that the system parameters are mutually restricted,and the system is greatly affected by the parameters.[Conclusions]The parameter a has a great influence on the single-mode NH3 molecular laser system,which fully reflects the chaotic characteristics of the single-mode NH3 molecular laser system and the sensitivity of the system to the parameters.

关 键 词：单模NH3分子激光器系统 LYAPUNOV指数 复杂度 混沌 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]