TY  - JOUR
A1  - Komarov, Maxim
A1  - Pikovskij, Arkadij
T1  - Effects of nonresonant interaction in ensembles of phase oscillators
JF  - Physical review : E, Statistical, nonlinear and soft matter physics
N2  - We consider general properties of groups of interacting oscillators, for which the natural frequencies are not in resonance. Such groups interact via nonoscillating collective variables like the amplitudes of the order parameters defined for each group. We treat the phase dynamics of the groups using the Ott-Antonsen ansatz and reduce it to a system of coupled equations for the order parameters. We describe different regimes of cosynchrony in the groups. For a large number of groups, heteroclinic cycles, corresponding to a sequential synchronous activity of groups and chaotic states where the order parameters oscillate irregularly, are possible.
Y1  - 2011
U6  - https://doi.org/10.1103/PhysRevE.84.016210
SN  - 1539-3755
VL  - 84
IS  - 1
PB  - American Physical Society
CY  - College Park
ER  -