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Ott-Antonsen reduction for the non-Abelian Kuramoto model on the 3-sphere (1905.05327v2)

Published 14 May 2019 in nlin.AO

Abstract: 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.

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