摘要
研究了一类单自由度分段线性系统周期运动的分岔和混沌现象。首先求出系统的切换矩阵,应用Floquet理论分析了该系统周期运动发生倍化分岔的条件,然后建立Poincare映射,通过数值方法进一步研究了系统中发生的倍化分岔现象。最后使用耦合反馈控制方法和外加恒定载荷控制方法对系统经倍化分岔序列通向混沌的运动状态有效地控制到不同的周期轨道。
Bifurcation and chaos of periodic motions of a single-degree-of-freedom system with piecewise-linearity is studied.The switching matrix is given and the period-doubling bifurcation of periodic motions of the system is investigated by the Floquet theory.Poincaré map is established and further study on period-doubling bifurcations and chaotic behaviors in the non-smooth system is done by means of numerical simulations.The chaotic behaviors in the system are effectively controlled to the different periodic orbits using the coupling feedback control method and the constant load addition control method.
出处
《振动与冲击》
EI
CSCD
北大核心
2008年第6期20-24,共5页
Journal of Vibration and Shock
基金
国家自然科学基金资助项目(10472096
10772151)
