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Experimental Study of the Irrational Phase Synchronization of Coupled Nonidentical Mechanical Metronomes

It has recently been observed in numerical simulations that the phases of two coupled nonlinear oscillators can become locked into an irrational ratio, exhibiting the phenomenon of irrational phase synchronization (IPS) [Phys. Rev. E 69, 056228 (2004)]. Here, using two coupled nonidentical periodic...

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Detalles Bibliográficos
Autores principales: Song, Zhiwen, Wu, Ye, Liu, Weiqing, Xiao, Jinghua
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2015
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4364733/
https://www.ncbi.nlm.nih.gov/pubmed/25786222
http://dx.doi.org/10.1371/journal.pone.0118986
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author Song, Zhiwen
Wu, Ye
Liu, Weiqing
Xiao, Jinghua
author_facet Song, Zhiwen
Wu, Ye
Liu, Weiqing
Xiao, Jinghua
author_sort Song, Zhiwen
collection PubMed
description It has recently been observed in numerical simulations that the phases of two coupled nonlinear oscillators can become locked into an irrational ratio, exhibiting the phenomenon of irrational phase synchronization (IPS) [Phys. Rev. E 69, 056228 (2004)]. Here, using two coupled nonidentical periodic mechanical metronomes, we revisit this interesting phenomenon through experimental studies. It is demonstrated that under suitable couplings, the phases of the metronomes indeed can become locked into irrational ratios. Numerical simulations confirm the experimental observations and also reveal that in the IPS state, the system dynamics are chaotic. Our studies provide a solid step toward further studies of IPS.
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spelling pubmed-43647332015-03-23 Experimental Study of the Irrational Phase Synchronization of Coupled Nonidentical Mechanical Metronomes Song, Zhiwen Wu, Ye Liu, Weiqing Xiao, Jinghua PLoS One Research Article It has recently been observed in numerical simulations that the phases of two coupled nonlinear oscillators can become locked into an irrational ratio, exhibiting the phenomenon of irrational phase synchronization (IPS) [Phys. Rev. E 69, 056228 (2004)]. Here, using two coupled nonidentical periodic mechanical metronomes, we revisit this interesting phenomenon through experimental studies. It is demonstrated that under suitable couplings, the phases of the metronomes indeed can become locked into irrational ratios. Numerical simulations confirm the experimental observations and also reveal that in the IPS state, the system dynamics are chaotic. Our studies provide a solid step toward further studies of IPS. Public Library of Science 2015-03-18 /pmc/articles/PMC4364733/ /pubmed/25786222 http://dx.doi.org/10.1371/journal.pone.0118986 Text en © 2015 Song et al http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.
spellingShingle Research Article
Song, Zhiwen
Wu, Ye
Liu, Weiqing
Xiao, Jinghua
Experimental Study of the Irrational Phase Synchronization of Coupled Nonidentical Mechanical Metronomes
title Experimental Study of the Irrational Phase Synchronization of Coupled Nonidentical Mechanical Metronomes
title_full Experimental Study of the Irrational Phase Synchronization of Coupled Nonidentical Mechanical Metronomes
title_fullStr Experimental Study of the Irrational Phase Synchronization of Coupled Nonidentical Mechanical Metronomes
title_full_unstemmed Experimental Study of the Irrational Phase Synchronization of Coupled Nonidentical Mechanical Metronomes
title_short Experimental Study of the Irrational Phase Synchronization of Coupled Nonidentical Mechanical Metronomes
title_sort experimental study of the irrational phase synchronization of coupled nonidentical mechanical metronomes
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4364733/
https://www.ncbi.nlm.nih.gov/pubmed/25786222
http://dx.doi.org/10.1371/journal.pone.0118986
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