TY  - JOUR
A1  - Vlasov, Vladimir
A1  - Pikovskij, Arkadij
A1  - Macau, Elbert E. N.
T1  - Star-type oscillatory networks with generic Kuramoto-type coupling: A model for "Japanese drums synchrony"
T2  - Chaos : an interdisciplinary journal of nonlinear science
N2  - 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.
Y1  - 2015
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/38388
SN  - 1054-1500
SN  - 1089-7682
VL  - 25
IS  - 12
PB  - American Institute of Physics
CY  - Melville
ER  -