  Globally coupled phase oscillator models, such as the Kuramoto model, exhibit
spontaneous collective synchronization. Such models can be restated in terms of
interactions within and between subsets of oscillators. An approximation for
the internal structure of coherent subsets of oscillators can be made based on
the observations of natural ordering and uniform tidal effects. The
approximation is seen to perform well for predicting the microstructure in a
variety of phase oscillator models.
