Star-type oscillatory networks with generic Kuramoto-type coupling: A model for "Japanese drums synchrony"
- We analyze star-type networks of phase oscillators by virtue of two methods. For identical oscillators we adopt the Watanabe-Strogatz approach, which gives full analytical description of states, rotating with constant frequency. For nonidentical oscillators, such states can be obtained by virtue of the self-consistent approach in a parametric form. In this case stability analysis cannot be performed, however with the help of direct numerical simulations we show which solutions are stable and which not. We consider this system as a model for a drum orchestra, where we assume that the drummers follow the signal of the leader without listening to each other and the coupling parameters are determined by a geometrical organization of the orchestra. (C) 2015 AIP Publishing LLC.
| Author details: | Vladimir Vlasov, Arkadij PikovskijORCiDGND, Elbert E. N. Macau |
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| DOI: | https://doi.org/10.1063/1.4938400 |
| ISSN: | 1054-1500 |
| ISSN: | 1089-7682 |
| Pubmed ID: | https://pubmed.ncbi.nlm.nih.gov/26723159 |
| Title of parent work (English): | Chaos : an interdisciplinary journal of nonlinear science |
| Publisher: | American Institute of Physics |
| Place of publishing: | Melville |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2015 |
| Publication year: | 2015 |
| Release date: | 2017/03/27 |
| Volume: | 25 |
| Issue: | 12 |
| Number of pages: | 13 |
| Funding institution: | DFG/FAPESP [IRTG 1740/TRP 2011/50151-0]; Ministry of Education and Science of the Russian Federation [02.49.21.0003]; Lobachevsky State University of Nizhni Novgorod [02.49.21.0003] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
