一类含常数项的混沌系统在未知参数下的同步  

Synchronization of a Class of Chaotic Systems with Constant Terms under Unknown Parameters

作　　者：周群利[1,2] 白彩波 ZHOU Qunli;BAI Caibo(Institute of Electrical and Automation,Wuhu Institute of Technology,Wuhu 241006,China;Hefei Institute of Intelligent Machines,Chinese Academy of Science,Hefei 230031,China)

机构地区：[1]芜湖职业技术学院电气与自动化学院,安徽芜湖241006 [2]中国科学院合肥智能机械研究所,安徽合肥230031

出　　处：《滨州学院学报》2024年第2期90-96,共7页Journal of Binzhou University

基　　金：安徽省高校优秀拔尖人才培育项目(gxgnfx2021190);安徽高校自然科学研究重点项目(KJ2020A0911)。

摘　　要：研究了一个新的含有常数项的混沌系统在参数未知情况下的修正函数投影同步问题。对新的含有常数项的混沌系统从平衡点的稳定性、耗散性、poincare映射、功率谱及初值敏感性5个方面进行了特性分析。基于修正函数投影同步方法,设计了有效的控制输入及参数自适应律,根据Lyapunov函数稳定性定理从理论上证明修正函数投影同步误差系统在原点的渐近稳定性,从而实现了新混沌系统的修正函数投影同步控制。数值模拟仿真证明了同步方法的正确性,该同步方法可以应用于混沌保密通信的研究中。The synchronization of a new chaotic system with constant terms under the unknown parameters is studied.The properties of a new chaotic system with constant terms are analyzed from five aspects:stability,dissipation,poincare mapping,power spectrum and initial sensitivity of the equilibrium point.Based on the modified function projection synchronization method,the effective control input and parameter adaptive law are designed.According to Lyapunov function stability theorem,the asymptotic stability of the modified function projection synchronization error system at the origin is proved theoretically.Thus,the synchronization control of modified function projection for new chaotic system is realized.Numerical simulation proves the correctness of the synchronization method,which can be applied to the research of chaotic secure communication.

关 键 词：混沌系统 ROSSLER系统 修正函数投影同步 常数项 平衡点 

分 类 号：O415.5[理学—理论物理]