Synchronization mechanism of clapping rhythms in mutual interacting individuals

doi:10.1088/1674-1056/abb30a

Abstract In recent years, clapping synchronization between individuals has been widely studied as one of the typical synchronization phenomena. In this paper, we aim to reveal the synchronization mechanism of clapping interactions by observing two individuals' clapping rhythms in a series of experiments. We find that the two synchronizing clapping rhythm series exhibit long-range cross-correlations (LRCCs); that is, the interaction of clapping rhythms can be seen as a strong-anticipation process. Previous studies have demonstrated that the interactions in local timescales or global matching in statistical structures of fluctuation in long timescales can be sources of the strong-anticipation process. However, the origin of the strong anticipation process often appears elusive in many complex systems. Here, we find that the clapping synchronization process may result from the local interaction between two clapping individuals and may result from the more global coordination between two clapping individuals. We introduce two stochastic models for mutually interacting clapping individuals that generate the LRCCs and prove theoretically that the generation of clapping synchronization process needs to consider both local interaction and global matching. This study provides a statistical framework for studying the internal synchronization mechanism of other complex systems. Our theoretical model can also be applied to study the dynamics of other complex systems with the LRCCs, including finance, transportation, and climate.

Keywords: synchronization mechanism clapping rhythm numerical simulation

Received: 12 July 2020
Revised: 10 August 2020
Accepted manuscript online: 27 August 2020

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.Tp	(Time series analysis)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11765008, 71731002, and 11775034) and the Jiangxi Provincial Natural Science Foundation, China (Grant No. 20202ACBL201004).

Corresponding Authors: ^†Corresponding author. E-mail: wqliujx@gmail.com

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Shi-Lan Su(苏世兰), Jing-Hua Xiao(肖井华), Wei-Qing Liu(刘维清), and Ye Wu(吴晔) Synchronization mechanism of clapping rhythms in mutual interacting individuals 2021 Chin. Phys. B 30 010505

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1. Supporting Information.pdf(653KB)

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