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

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  • Zhiwen Song
  • Ye Wu
  • Weiqing Liu
  • Jinghua Xiao

Abstract

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.

Suggested Citation

  • Zhiwen Song & Ye Wu & Weiqing Liu & Jinghua Xiao, 2015. "Experimental Study of the Irrational Phase Synchronization of Coupled Nonidentical Mechanical Metronomes," PLOS ONE, Public Library of Science, vol. 10(3), pages 1-11, March.
    • Handle: RePEc:plo:pone00:0118986
    DOI: 10.1371/journal.pone.0118986
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    1. Czolczynski, K. & Perlikowski, P. & Stefanski, A. & Kapitaniak, T., 2009. "Clustering and synchronization of n Huygens’ clocks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(24), pages 5013-5023.
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