摘要
研究了一个带时滞反馈控制的三维混沌系统。首先,分析了系统的平衡点的局部稳定性;其次,以时滞作为分岔参数,得到了系统产生Hopf分岔的条件,为实现三维混沌系统的混沌控制提供了必要的理论基础。
In this paper,a three-dimensional chaotic system with delayed feedback is studied.Firstly,the local stability of the equilibrium point of the system is analyzed.Secondly,the conditions under which Hopf bifurcation occurs are obtained by choosing delay as bifurcation parameter.The results provide some theoretical basis on controlling chaos of three-dimensional systems.
作者
刘杰
管俊彪
LIU Jie;GUAN Junbiao(School of Science,Hangzhou Dianzi University,Hangzhou Zhejiang 310018,China)
出处
《杭州电子科技大学学报（自然科学版）》
2019年第3期88-91,102,共5页
Journal of Hangzhou Dianzi University：Natural Sciences
基金
国家自然科学青年基金资助项目(11301122)
关键词
时滞
HOPF分岔
稳定性
time-delay
Hopf bifurcation
stability
