Hopf bifurcation control in a coupled nonlinear relative rotation dynamical system
一类耦合非线性相对转动系统的Hopf分岔控制

A coupled nonlinear relative-rotation system is studied, and the Hopf bifurcation is analyzed under the condition of primary resonance and 1:1 internal resonance. In order to control the Hopf bifurcation point, the stability and amplitude of limit cycle, a nonlinear feedback controller is proposed, and numerical calculation can confirm the validity of the method.