TY  - JOUR
A1  - Burylko, Oleksandr
A1  - Pikovskij, Arkadij
T1  - Desynchronization transitions in nonlinearly coupled phase oscillators
JF  - Physica :D, Nonlinear phenomena
N2  - We consider the nonlinear extension of the Kuramoto model of globally coupled phase oscillators where the phase shift in the coupling function depends on the order parameter. A bifurcation analysis of the transition from fully synchronous state to partial synchrony is performed. We demonstrate that for small ensembles it is typically mediated by stable cluster states, that disappear with creation of heteroclinic cycles, while for a larger number of oscillators a direct transition from full synchrony to a periodic or a quasiperiodic regime occurs.
KW  - Coupled oscillators
KW  - Oscillator ensembles
KW  - Kuramoto model
KW  - Nonlinear coupling
KW  - Bifurcations
Y1  - 2011
U6  - https://doi.org/10.1016/j.physd.2011.05.016
SN  - 0167-2789
VL  - 240
IS  - 17
SP  - 1352
EP  - 1361
PB  - Elsevier
CY  - Amsterdam
ER  -