TY  - JOUR
A1  - Komarov, Maxim
A1  - Pikovskij, Arkadij
T1  - Finite-size-induced transitions to synchrony in oscillator ensembles with nonlinear global coupling
T2  - Physical review : E, Statistical, nonlinear and soft matter physics
N2  - We report on finite-sized-induced transitions to synchrony in a population of phase oscillators coupled via a nonlinear mean field, which microscopically is equivalent to a hypernetwork organization of interactions. Using a self-consistent approach and direct numerical simulations, we argue that a transition to synchrony occurs only for finite-size ensembles and disappears in the thermodynamic limit. For all considered setups, which include purely deterministic oscillators with or without heterogeneity in natural oscillatory frequencies, and an ensemble of noise-driven identical oscillators, we establish scaling relations describing the order parameter as a function of the coupling constant and the system size.
Y1  - 2015
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/38695
SN  - 1539-3755
SN  - 1550-2376
VL  - 92
IS  - 2
PB  - American Physical Society
CY  - College Park
ER  -