Synchronization of organ pipes
Adaptation and Self-Organizing Systems
2018-03-14 v1
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.
Cite
@article{arxiv.1708.06571,
title = {Synchronization of organ pipes},
author = {Jakub Sawicki and Markus Abel and Eckehard Schöll},
journal= {arXiv preprint arXiv:1708.06571},
year = {2018}
}