Experimental Study of the Triplet Synchronization of Coupled Nonidentical Mechanical Metronomes

Ji Jia; Zhiwen Song; Weiqing Liu; Jurgen Kurths; Jinghua Xiao

doi:10.1038/srep17008

Experimental Study of the Triplet Synchronization of Coupled Nonidentical Mechanical Metronomes

Ji Jia
, Zhiwen Song
, Weiqing Liu
, Jurgen Kurths
, Jinghua Xiao

Beijing University of Posts and Telecommunications
Jiangxi University of Science and Technology
Humboldt University of Berlin
Postdam Institute for Climate Impact Research
R.Y. Alekseev Nizhny Novgorod State Technical University

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

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Abstract

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.

Original language	English
Article number	17008
Number of pages	12
Journal	Scientific Reports
Volume	5
Early online date	24 Nov 2015
DOIs	https://doi.org/10.1038/srep17008
Publication status	Published - 2015

Bibliographical note

Date of Acceptance:22/10/2015
This research recieved funds from the National Natural Science Foundation of China (Grant Nos. 61377067, 10575016, 11262006) and the Fundamental Research Funds for the Central Universities. W.L. was supported by the project of high school of Jiangxi province (Grant No. KJLD14047), and the training plan of young scientists of Jiangxi province.

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Experimental Study of the Triplet Synchronization of Coupled Nonidentical Mechanical Metronomes
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title = "Experimental Study of the Triplet Synchronization of Coupled Nonidentical Mechanical Metronomes",

abstract = "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.",

author = "Ji Jia and Zhiwen Song and Weiqing Liu and Jurgen Kurths and Jinghua Xiao",

note = "Date of Acceptance:22/10/2015 This research recieved funds from the National Natural Science Foundation of China (Grant Nos. 61377067, 10575016, 11262006) and the Fundamental Research Funds for the Central Universities. W.L. was supported by the project of high school of Jiangxi province (Grant No. KJLD14047), and the training plan of young scientists of Jiangxi province.",

year = "2015",

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AU - Jia, Ji

AU - Song, Zhiwen

AU - Liu, Weiqing

AU - Kurths, Jurgen

AU - Xiao, Jinghua

N1 - Date of Acceptance:22/10/2015 This research recieved funds from the National Natural Science Foundation of China (Grant Nos. 61377067, 10575016, 11262006) and the Fundamental Research Funds for the Central Universities. W.L. was supported by the project of high school of Jiangxi province (Grant No. KJLD14047), and the training plan of young scientists of Jiangxi province.

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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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VL - 5

JO - Scientific Reports

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Experimental Study of the Triplet Synchronization of Coupled Nonidentical Mechanical Metronomes

Abstract

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