复摆强迫振动中的混沌研究  

Studying of chaos in the forced oscillation of the compound pendulum

作　　者：孙红章[1] 汤正新[1] 刘哲[1] 苏向英[1] 刘磊[1] 刘钢[1] 

机构地区：[1]河南科技大学物理与工程学院,河南洛阳471003

出　　处：《商丘师范学院学报》2010年第3期58-60,共3页Journal of Shangqiu Normal University

基　　金：河南省教育厅自然科学研究计划资助项目(2008B140005);河南科技大学科研基金资助项目(05-032;2006QN033;SRTP2009176)

摘　　要：对复摆模型的强迫振动方程进行数值求解,显示出复摆运动在外驱动力作用下由倍周期分岔走向混沌,验证了其混沌解的"蝴蝶效应",并得到了复摆作混沌运动的几个奇怪吸引子.The forced oscillation equation of the compound pendulum is solved numerically. It is showed the com- pound pendulum evolves from period - doubling bifurcation to chaos by an external driving force acting. The butterfly effect of its chaotic solution is validated. And some strange attractors of the compound pendulum＇ s chaotic motion are obtained.

关 键 词：复摆 混沌 奇怪吸引子 蝴蝶效应 

分 类 号：O415.5[理学—理论物理]