一个新非线性系统的动力学分析与混沌控制  

Dynamic Analysis and Chaos Control of a New Nonlinear System

作　　者：何宏骏 崔岩[1] 孙观 HE Hongjun;CUI Yan;SUN Guan(School of Mechanical and Automotive Engineering, Shanghai University of Engineering Science, Shanghai 201620, China)

机构地区：[1]上海工程技术大学机械与汽车工程学院

出　　处：《吉林大学学报（理学版）》2019年第5期1224-1230,共7页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11604205)

摘　　要：为解决混沌系统在保密通信中的控制问题,计算分析耗散性函数的耗散性,并结合Lyapunov指数证明其混沌性.根据Routh-Hurwitz判据分析平衡点的稳定性,利用MATLAB软件模拟相图.结果表明:该系统具有丰富的动力学特征,且与Lorenz系统拓扑不相似;用微分反馈控制法可控制并消除该系统的混沌现象,用x|x|控制法可对新系统进行周期控制,使其周期态和混沌交替出现.In order to solve the control problem of chaotic system in the secure communication,we calculated and analyzed dissipative property of the dissipative function,and proved the chaos by the Lyapunov exponent.According to the Routh-Hurwitz criterion,the stability of the equilibrium point was analyzed.The phase diagram wass simulated by using MATLAB.The results show that the system has rich dynamic characteristics and is not similar to the Lorenz system topology.The chaotic phenomena of the system can be controlled and eliminated by the differential feedback control method,and the new system can be periodically controlled by the x |x| control method to make the periodic state and chaos alternate.

关 键 词：保密通信 动力学分析 混沌控制 x控制 

分 类 号：O415[理学—理论物理]