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.
出处
《周口师范学院学报》
CAS
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)
