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Experimental Study of the Triplet Synchronization of Coupled Nonidentical Mechanical Metronomes

Triplet synchrony is an interesting state when the phases and the frequencies of three coupled oscillators fulfill the conditions of a triplet locking, whereas every pair of systems remains asynchronous. Experimental observation of triplet synchrony is firstly realized in three coupled nonidentical...

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Autores principales: Jia, Ji, Song, Zhiwen, Liu, Weiqing, Kurths, Jürgen, Xiao, Jinghua
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group 2015
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4657055/
https://www.ncbi.nlm.nih.gov/pubmed/26598175
http://dx.doi.org/10.1038/srep17008
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author Jia, Ji
Song, Zhiwen
Liu, Weiqing
Kurths, Jürgen
Xiao, Jinghua
author_facet Jia, Ji
Song, Zhiwen
Liu, Weiqing
Kurths, Jürgen
Xiao, Jinghua
author_sort Jia, Ji
collection PubMed
description Triplet synchrony is an interesting state when the phases and the frequencies of three coupled oscillators fulfill the conditions of a triplet locking, whereas every pair of systems remains asynchronous. Experimental observation of triplet synchrony is firstly realized in three coupled nonidentical mechanical metronomes. A more direct method based on the phase diagram is proposed to observe and determine triplet synchronization. Our results show that the stable triplet synchrony is observed in several intervals of the parameter space. Moreover, the experimental results are verified according to the theoretical model of the coupled metronomes. The outcomes are useful to understand the inner regimes of collective dynamics in coupled oscillators.
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spelling pubmed-46570552015-11-30 Experimental Study of the Triplet Synchronization of Coupled Nonidentical Mechanical Metronomes Jia, Ji Song, Zhiwen Liu, Weiqing Kurths, Jürgen Xiao, Jinghua Sci Rep Article Triplet synchrony is an interesting state when the phases and the frequencies of three coupled oscillators fulfill the conditions of a triplet locking, whereas every pair of systems remains asynchronous. Experimental observation of triplet synchrony is firstly realized in three coupled nonidentical mechanical metronomes. A more direct method based on the phase diagram is proposed to observe and determine triplet synchronization. Our results show that the stable triplet synchrony is observed in several intervals of the parameter space. Moreover, the experimental results are verified according to the theoretical model of the coupled metronomes. The outcomes are useful to understand the inner regimes of collective dynamics in coupled oscillators. Nature Publishing Group 2015-11-24 /pmc/articles/PMC4657055/ /pubmed/26598175 http://dx.doi.org/10.1038/srep17008 Text en Copyright © 2015, Macmillan Publishers Limited http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
spellingShingle Article
Jia, Ji
Song, Zhiwen
Liu, Weiqing
Kurths, Jürgen
Xiao, Jinghua
Experimental Study of the Triplet Synchronization of Coupled Nonidentical Mechanical Metronomes
title Experimental Study of the Triplet Synchronization of Coupled Nonidentical Mechanical Metronomes
title_full Experimental Study of the Triplet Synchronization of Coupled Nonidentical Mechanical Metronomes
title_fullStr Experimental Study of the Triplet Synchronization of Coupled Nonidentical Mechanical Metronomes
title_full_unstemmed Experimental Study of the Triplet Synchronization of Coupled Nonidentical Mechanical Metronomes
title_short Experimental Study of the Triplet Synchronization of Coupled Nonidentical Mechanical Metronomes
title_sort experimental study of the triplet synchronization of coupled nonidentical mechanical metronomes
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4657055/
https://www.ncbi.nlm.nih.gov/pubmed/26598175
http://dx.doi.org/10.1038/srep17008
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