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Synchronization of organ pipes

Author

Listed:
  • Jakub Sawicki

    (Institut für Theoretische Physik, Technische Universität Berlin)

  • Markus Abel

    (Potsdam University)

  • Eckehard Schöll

    (Institut für Theoretische Physik, Technische Universität Berlin)

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.

Suggested Citation

  • Jakub Sawicki & Markus Abel & Eckehard Schöll, 2018. "Synchronization of organ pipes," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(2), pages 1-9, February.
    • Handle: RePEc:spr:eurphb:v:91:y:2018:i:2:d:10.1140_epjb_e2017-80485-8
    DOI: 10.1140/epjb/e2017-80485-8
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    Keywords

    Statistical and Nonlinear Physics;

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