【摘要】 通过理论分析和数值仿真,研究了一类二维冲击振动系统在一种强共振条件下的Hopf分叉与亚谐分叉。分析并证实了该类系统在此共振条件下可由稳定的周期1 1振动分叉为周期4 4振动或概周期振动,讨论了亚谐振动和概周期振动向混沌运动的演化过程。更多还原

【Abstract】 Hopf bifurcation and subharmonic bifurcation of a vi bro impact system, in a kind of strong resonance case, are investigated by theo retical analyses and numerical simulations. It is demonstrated that the system c an exhibit a stable 4 four period of impact motion or a quasi periodic impact motion bifurcating from a 1 single period of impact motion in the strong reso nance condition. Routes from subharmonic motion and quasi1 single periodic moti on to chaos are discussed.更多还原