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Synchronization of organ pipes

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Abstract

We investigate synchronization of coupled organ pipes. Synchronization and reflection in the organ lead to undesired weakening of the sound in special cases. Recent experiments have shown that sound interaction is highly complex and nonlinear, however, we show that two delay-coupled Van-der-Pol oscillators appear to be a good model for the occurring dynamical phenomena. Here the coupling is realized as distance-dependent, or time-delayed, equivalently. Analytically, we investigate the synchronization frequency and bifurcation scenarios which occur at the boundaries of the Arnold tongues. We successfully compare our results to experimental data.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623, Berlin, Germany

    Jakub Sawicki & Eckehard Schöll

  2. Department of Physics and Astronomy, Potsdam University, Karl-Liebknecht-Straße 24, 14476, Potsdam, Germany

    Markus Abel

Authors
  1. Jakub Sawicki
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  2. Markus Abel
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  3. Eckehard Schöll
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Correspondence to Jakub Sawicki.

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Sawicki, J., Abel, M. & Schöll, E. Synchronization of organ pipes. Eur. Phys. J. B 91, 24 (2018). https://doi.org/10.1140/epjb/e2017-80485-8

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  • DOI: https://doi.org/10.1140/epjb/e2017-80485-8

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