TY  - JOUR
A1  - Rosenblum, Michael
A1  - Pikovskij, Arkadij
T1  - Nonlinear phase coupling functions: a numerical study
JF  - Philosophical Transactions of the Royal Society of London, Series A : Mathematical, Physical and Engineering Sciences
N2  - Phase reduction is a general tool widely used to describe forced and interacting self-sustained oscillators. Here, we explore the phase coupling functions beyond the usual first-order approximation in the strength of the force. Taking the periodically forced Stuart-Landau oscillator as the paradigmatic model, we determine and numerically analyse the coupling functions up to the fourth order in the force strength. We show that the found nonlinear phase coupling functions can be used for predicting synchronization regions of the forced oscillator.
KW  - phase approximation
KW  - coupling function
KW  - phase response curve
Y1  - 2019
U6  - https://doi.org/10.1098/rsta.2019.0093
SN  - 1364-503X
SN  - 1471-2962
VL  - 377
IS  - 2160
PB  - Royal Society
CY  - London
ER  -