时滞反馈控制策略在三维混沌系统中的应用  

The Application of Time-delayed Feedback Control Technique in a 3D Chaotic System

作　　者：陈立林 徐昌进[2] CHEN Lilin;XU Changjin(Schooi of Mathematics and Statistics,Guizhou University of Finance and Economics,Ouizhou Guiyang 550004,China;Guizhou Key Laboratory of Economics System Simulation,Guizhou University of Finance and Economics,Guizhou Guiyang 550004,China)

机构地区：[1]贵州财经大学数学与统计学院,贵州贵阳550004 [2]贵州财经大学贵州省经济系统仿真重点实验室,贵州贵阳550004

出　　处：《河北师范大学学报（自然科学版）》2018年第6期466-471,共6页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(61673008);贵州省高层次创新型人才项目(黔科合平台人才[2016]565);贵州省教育厅创新群体重大研究项目(黔教科KY字[2017]039);贵州省科技厅科学技术基金项目([2018]1025);贵州省金融物理特色重点实验室(黔教合KY字[2017]004)

摘　　要：在某些特定参数下Rssler系统是一个具有典型特性的三维动力系统,把时滞反馈控制策略应用到Rssler系统混沌控制中,设计恰当的时滞反馈控制器控制Rssler模型的混沌现象,在Rssler模型中增加反馈控制器,分析了时滞微分Rssler系统的平衡点的局部稳定性和Hopf分支的存在性.计算机模拟验证了理论分析的结果.Under certain specidic parameters,the R0ssler system is a three dimensional dynamic system with typical features. The time-delay feedback control strategy is applied to the control chaotic Rossler sys- tem. Chaotic behavior is suppressed of Rossler dynamical system by applying time-delay feedback control strategy. By adding a time delay feedback control term to the second equation of Rossler dynamical system, we investigate the local stability of the equilibrium point and the existence of Hopf bifurcation of delayed differential Rossler system. Numerical simulations are used to validate this study.

关 键 词：三维混沌系统 ROSSLER系统 时滞反馈控制 HOPF分支 

分 类 号：O175.13[理学—数学]