一类具有唯一奇点的3D混沌系统的反馈控制  

Feedback control a 3D chaotic autonomy system with only one equilibrium

作　　者：赵汇涛[1] 赵苗婵[1] 

机构地区：[1]周口师范学院数学与统计学院,河南周口466001

出　　处：《周口师范学院学报》2015年第2期5-8,共4页Journal of Zhoukou Normal University

基　　金：河南省教育厅资助项目(No.13A110108)

摘　　要：讨论了一类具有唯一平衡点的自治系统.运用Hopf分支理论讨论了此系统在未受控制和受到控制时系统平衡点的稳定性与Hopf分支.通过数值模拟发现在未受控系统与受控系统中都会出现稳定的平衡点、周期轨与混沌吸引子共存的情况.In this paper,a chaotic 3Dautonomy system with only one equilibrium is investigated.By using Hopf bifurcation theory,the stability and Hopf bifurcations of this system without controller and with controller are discussed.From the numerical simulations we find an interesting phenomenon,that is,whether without control or under linear control,there are stable equilibrium or periodic orbits coexist with chaotic attractor.

关 键 词：HOPF分支 稳定性 混沌 混沌控制 

分 类 号：O175.1[理学—数学]