The spectrum of the locked state for the Kuramoto model of coupled oscillators

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Synchronization and transient stability in power networks and non-uniform Kuramoto oscillators (2009, methodology): “The synchronization of coupled Kuramoto oscillators has been widely studied by the physics [15], [16] and the dynamical systems communities [17], [18].”
On the Critical Coupling for Kuramoto Oscillators (2010, unknown): “For instance, since the average frequency [49, 38] analyzed with respect to a rotating frame in the coordinates ξ i = θ i − ω avg t (mod 2 π ), i ∈ { 1 , . . . an , n , corresponding to a deviation from the average angle.”
Synchronization in complex networks of phase oscillators: A survey (2014, background): “Finally , for the complete graph with uniform weights (see the Kuramoto model (3)), additional insights and identities related to the Jacobian (21) can be found in (Aeyels and Rogge, 2004; Mirollo and Strogatz, 2005; Verwoerd and Mason, 2008; Bronski et al., 2012).”