We are interested in low-dimensional dynamics in an ensemble of coupled nonidentical generalized oscillators on the 3-sphere. The system of governing equations for such an ensemble is referred to as non-Abelian Kuramoto model in the literature. We establish an analogue (or an extension) of the Ott-Antonsen (OA) result for this model.
@article{arxiv.1905.05327,
title = {Ott-Antonsen reduction for the non-Abelian Kuramoto model on the 3-sphere},
author = {Vladimir Jacimovic and Ben Niu},
journal= {arXiv preprint arXiv:1905.05327},
year = {2019}
}