具有带头鼓掌者的掌声同步  

Synchronization of the applause with leaders

作　　者：孙永征[1,2] 阮炯[2] 李望[3] 

机构地区：[1]中国矿业大学理学院,徐州221008 [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

出　　处：《物理学报》2008年第12期7547-7554,共8页Acta Physica Sinica

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.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.

关 键 词：同步 时滞 稳定性 

分 类 号：O157.5[理学—数学]