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。
Hopf bifurcation and subharmonic bifurcation of a vibro-impact system, in a kind of strong resonance case, are investigated by theoretical analyses and numerical simulations. It is demonstrated that the system can 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 resonance condition. Routes from subharmonic motion and quasi-single periodic motion to chaos are discussed.
出处
《爆炸与冲击》
EI
CAS
CSCD
北大核心
2003年第1期67-73,共7页
Explosion and Shock Waves
基金
国家自然科学基金项目(10172042
10072051)
教育部博士点基金项目(20010613001)
