Synchronization of organ pipes
- 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.
| Author details: | Jakub Sawicki, Markus AbelORCiDGND, Eckehard Schöll |
|---|---|
| DOI: | https://doi.org/10.1140/epjb/e2017-80485-8 |
| ISSN: | 1434-6028 |
| ISSN: | 1434-6036 |
| Title of parent work (English): | The European physical journal : B, Condensed matter and complex systems |
| Publisher: | Springer |
| Place of publishing: | New York |
| Publication type: | Article |
| Language: | English |
| Date of first publication: | 2018/02/05 |
| Publication year: | 2018 |
| Release date: | 2022/01/24 |
| Volume: | 91 |
| Issue: | 2 |
| Number of pages: | 9 |
| Funding institution: | Deutsche ForschungsgemeinschaftGerman Research Foundation (DFG) [SFB 910] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| Peer review: | Referiert |
| Publishing method: | Open Access / Green Open-Access |
