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Long-Range Correlation in Synchronization and Syncopation Tapping: A Linear Phase Correction Model

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  • Didier Delignières
  • Kjerstin Torre
  • Loïc Lemoine

Abstract

We propose in this paper a model for accounting for the increase in long-range correlations observed in asynchrony series in syncopation tapping, as compared with synchronization tapping. Our model is an extension of the linear phase correction model for synchronization tapping. We suppose that the timekeeper represents a fractal source in the system, and that a process of estimation of the half-period of the metronome, obeying a random-walk dynamics, combines with the linear phase correction process. Comparing experimental and simulated series, we show that our model allows accounting for the experimentally observed pattern of serial dependence. This model complete previous modeling solutions proposed for self-paced and synchronization tapping, for a unifying framework of event-based timing.

Suggested Citation

  • Didier Delignières & Kjerstin Torre & Loïc Lemoine, 2009. "Long-Range Correlation in Synchronization and Syncopation Tapping: A Linear Phase Correction Model," PLOS ONE, Public Library of Science, vol. 4(11), pages 1-7, November.
    • Handle: RePEc:plo:pone00:0007822
    DOI: 10.1371/journal.pone.0007822
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    Cited by:

    1. Delignières, Didier & Marmelat, Vivien, 2014. "Strong anticipation and long-range cross-correlation: Application of detrended cross-correlation analysis to human behavioral data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 394(C), pages 47-60.
    2. Stephen, Damian G. & Dixon, James A., 2011. "Strong anticipation: Multifractal cascade dynamics modulate scaling in synchronization behaviors," Chaos, Solitons & Fractals, Elsevier, vol. 44(1), pages 160-168.

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