单摆运动的同宿轨道分岔、次谐分岔和混沌  

BIFURCATIONS AND CHAOS OF HOMOCLINEC AND SUBHARMONIC ORBITS FOR PENDULUM MOTION

作　　者：谢柏松[1] 

机构地区：[1]北京师范大学低能核物理研究所,北京100875

出　　处：《北京师范大学学报（自然科学版）》2000年第5期631-633,共3页Journal of Beijing Normal University(Natural Science)

基　　金：国家自然科学基金资助项目!(1990 5 0 0 1;19975 0 0 6 )

摘　　要：用Melnikov方法研究具有弱阻尼与参数激励的单摆以及倒摆运动的同宿轨道分岔、次谐分岔和混沌现象 ,得到了发生同宿轨道分岔、次谐分岔和混沌的临界参数 ,并将所得理论结果与倒摆运动的实验结果进行了比较与讨论 .Melnikov method is employed to study the bifurcations and chaos of homoclinic and subharmonic orbits for two pendulum systems. One is with weak damping and parametric excitation and the other is inverted with external driving. The parameter conditions for occurence of bifurcations and chaos are obtained. The analytical results are compared with the experimental ones and some implications are also discussed.

关 键 词：同宿轨道 分岔 混沌 单摆运动 阻尼 

分 类 号：O314[理学—一般力学与力学基础]