摘要
研究一类非线性摩擦阻尼力作用下的相对转动系统的Hopf分岔现象,给出系统产生Hopf分岔的充要条件,提出一种非线性反馈控制方法对系统的Hopf分岔点进行转移,并控制极限环的稳定性和幅值,数值模拟说明该方法对一类相对转动系统的Hopf分岔控制是有效的.
The Hopf bifurcation characteristic in a relative-rotation dynamical system with nonlinear damping force is analyzed and the necessary and sufficient condition of Hopf bifurcation is given under which the system has Hopf bifurcation emerging from the equilibrium. In order to make the Hopf bifurcation point transformed and control the stability and amplitude of limit cycle, a nonlinear feedback controller is proposed. The analytical results on controlling Hopf bifurcation points via the nonlinear controller agree well with the numerical results.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2009年第7期4383-4389,共7页
Acta Physica Sinica
基金
国家十一五重大科技攻关项目(批准号:2007BAF02B10)
河北省自然科学基金(批准号:F200800882)资助的课题~~
关键词
相对转动
非线性反馈控制
HOPF分岔
极限环
relatively rotation, nonlinear feedback control, Hopf bifurcation, limit cycle
