Clustering and synchronization of n Huygens' clocks

被引：80

作者：

Czolczynski, K. ^{[1
]}

Perlikowski, P. ^{[1
,2
]}

Stefanski, A. ^{[1
]}

Kapitaniak, T ^{[1
]}

机构：

[1] Tech Univ Lodz, Div Dynam, PL-90924 Lodz, Poland

[2] Humboldt Univ, Inst Math, D-10099 Berlin, Germany

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2009年 / 388卷 / 24期

关键词：

Pendulum; Clocks; Synchronization;

D O I：

10.1016/j.physa.2009.08.033

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the synchronization of a number of pendulum clocks hanging from an elastically fixed horizontal beam. It has been shown that after a transient, different types of synchronization between pendulums can be observed: (i) the complete synchronization in which all pendulums behave identically, (ii) pendula create three or five clusters of synchronized pendulums, (iii) antiphase synchronization in pairs (for even n). We give evidence why the configurations with a different number of clusters are not observed. We argue that these phenomena are robust and can be observed experimentally. (c) 2009 Elsevier B.V. All rights reserved.

引用

页码：5013 / 5023

页数：11

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