# Kuramoto model with uniformly spaced frequencies: Finite-N asymptotics of the locking threshold.

@article{OttinoLffler2016KuramotoMW, title={Kuramoto model with uniformly spaced frequencies: Finite-N asymptotics of the locking threshold.}, author={Bertrand Ottino-L{\"o}ffler and Steven H. Strogatz}, journal={Physical review. E}, year={2016}, volume={93 6}, pages={ 062220 } }

- Published in Physical review. E 2016
DOI:10.1103/PhysRevE.93.062220

We study phase locking in the Kuramoto model of coupled oscillators in the special case where the number of oscillators, N, is large but finite, and the oscillators' natural frequencies are evenly spaced on a given interval. In this case, stable phase-locked solutions are known to exist if and only if the frequency interval is narrower than a certain critical width, called the locking threshold. For infinite N, the exact value of the locking threshold was calculated 30 years ago; however, the… CONTINUE READING