Author

Yu-Qing Wang

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Preprint Aug 2026

Existence and Stability of Dancing Equilibria in Asymmetric Kuramoto Networks

We study nonzero-frequency phase-locked motions in asymmetrically coupled Kuramoto networks. Such motions are relative equilibria with fixed phase differences and a nonzero common angular velocity, and we call them dancing equilibria. Their existence requires all coupling sums to have the same nonzero value. We show th...

Wen Sun, Yu-Qing Wang, Jiu-Gang Dong · 0 citations