The periodic motion and Poincaré maps of a two-degree-of-freedom vibro-impact system are studied in this paper.The stability of the periodic motion is determined by the eigenvalues of the Jacobian matrix.It is shown that there exist Hopf bifurcations and period-doubling bifurcations in the vibro-impact system under suitable system parameters.The quasi-periodic responses of the system represented by invariant circles in the projected Poincaré section are obtained by numerical simulations, and routes to chaos are described briefly.
乐源,谢建华,丁旺才.一类两自由度碰撞振动系统的Hopf分岔和混沌[J].动力学与控制学报,2004,2(3):36~41; Le Yuan, Xie Jianhua, Ding Wangcai. Hopf bifurcation and chaos of a two-degree-of-freedom vibro-impact systems[J]. Journal of Dynamics and Control,2004,2(3):36-41.
