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| 具有带头鼓掌者的掌声同步 | |
| 引用本文： | 孙永征,阮炯,李望.具有带头鼓掌者的掌声同步[J].物理学报,2008,57(12):7547-7554. |
| 作者姓名： | 孙永征 阮炯 李望 |
| 作者单位： | 1. 中国矿业大学理学院,徐州,221008;复旦大学数学科学学院,上海,200433 2. 复旦大学数学科学学院,上海,200433 3. 中国矿业大学计算机学院,徐州,221008 |
| 摘 要： | 研究了具有带头鼓掌者的掌声同步问题,在掌声传播的时滞对观众有无明显影响的两种情形下给出了掌声同步的充分条件.理论结果不仅说明了人们日常生活中观察到的现象:在上座率高的剧场内更容易听到有节奏的掌声,而且也得到了一个与人们直觉不同的结论:即使在很大的剧场内一位带头鼓掌者就足以带领所有观众以相同的节奏鼓掌.仿真示例验证了理论结果的正确性.
关键词：
同步
时滞
稳定性 |
| 关 键 词： | 同步 时滞 稳定性 |
| 收稿时间： | 2008-03-25 |
Synchronization of the applause with leaders |
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| Sun Yong-Zheng,Ruan Jiong,Li Wang.Synchronization of the applause with leaders[J].Acta Physica Sinica,2008,57(12):7547-7554. | |
| Authors: | Sun Yong-Zheng Ruan Jiong Li Wang |
| Abstract: | Synchronization of the applause with leaders is investigated. The cases of the presence or absence of the effect of the applause transmission time delay on the part of the spectators are considered rcspectively. Sufficient conditions for the applause synchronization are presented for each case. The obtained theoretical results not only manifest the observation that rhythmic applauses are more frequently heard in a theater with high attendance rate, but also show a surprising conclusion that one leader is enough to make all spectators clap with the same frequency in a very large theater. Furthermore, numerical examples are provided to illustrate the validity of the theoretical results. |
| Keywords: | synchronization time delay stability |
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