| 单摆运动的同宿轨道分岔、次谐分岔和混沌 |
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| 引用本文： | 谢柏松. 单摆运动的同宿轨道分岔、次谐分岔和混沌[J]. 北京师范大学学报(自然科学版), 2000, 36(5): 631-633 |
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| 作者姓名： | 谢柏松 |
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| 作者单位： | 北京师范大学低能核物理研究所,100875 |
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| 基金项目： | 国家自然科学基金;19905001,19975006; |
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| 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。
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| 关 键 词： | Melnikov方法 同宿轨道 分岔 混沌 单摆 |
| 修稿时间： | 2000-02-29 |
BIFURCATIONS AND CHAOS OF HOMOCLINEC AND SUBHARMONIC ORBITS FOR PENDULUM MOTION |
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| Xie Baisong. BIFURCATIONS AND CHAOS OF HOMOCLINEC AND SUBHARMONIC ORBITS FOR PENDULUM MOTION[J]. Journal of Beijing Normal University(Natural Science), 2000, 36(5): 631-633 |
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| Authors: | Xie Baisong |
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| Abstract: | 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. |
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| Keywords: | Melnikov method homoclinic orbit bifurcations chaos pendulum |
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