A forced twodegree offreedom coupled system with cubic nonlinear terms was analyzed, and a feedback controller of nonlinear was designed. With the aid of approximate analytical method, the relationship between the control parameters and the amplitude of the vibration system was obtained, which proves that the feedback control is suitable in saddlenode bifurcation control of nonlinear systems with multidegrees of freedom, and the multiscale method is also applicable.
萧寒,李交曼,梁翠香.耦合的含立方非线性项系统的鞍结分岔控制[J].动力学与控制学报,2011,9(1):64~67; Xiao Han, Li Jiaoman, Liang Cuixiang. Control of saddlenode bifurcation in a coupled system with cubic nonlinear terms[J]. Journal of Dynamics and Control,2011,9(1):64-67.