摘要
分析Langford系统的Hopf分叉现象,并研究采用线性反馈控制方法控制该系统的Hopf分叉.从理论上推导出受控系统产生Hopf分叉的条件,给出了某些极限环的解析表达式,对该系统进行了分叉点的转移与极限环的稳定性控制.数值模拟说明本文采用的方法对Langford系统的Hopf分叉控制是有效的.
The Hopf bifurcation characteristic in Langford system is analyzed and the control of Hopf bifurcation in this system is investigated by means of the method of linear state feedback control. The condition in which Hopf bifurcation occurs in the controlled system is arrived at in analysis and the analytical expressions of the limit cycles are obtained. Hopf bifurcation points are transformed and the stability of the limit cycles is controlled. The analytical results on controlling Hopf bifurcation points via the controllers agree well with the numerical results.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2007年第6期3145-3151,共7页
Acta Physica Sinica
基金
国家自然科学基金(批准号:10672053)资助的课题~~
