Abstract
We investigate synchronization of two coupled oscillators using the example of organ pipes. It is well-known that 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 already two delay-coupled Van der Pol oscillators in fact appear to be a good model for the occurring dynamical phenomena. We analytically 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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Sawicki, J. (2019). Two Coupled Oscillators. In: Delay Controlled Partial Synchronization in Complex Networks. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-030-34076-6_3
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DOI: https://doi.org/10.1007/978-3-030-34076-6_3
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