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Globally coupled phase oscillator models, such as the Kuramoto model, exhibitspontaneous collective synchronization. Such models can be restated in terms ofinteractions within and between subsets of oscillators. An approximation forthe internal structure of coherent subsets of oscillators can be made based onthe observations of natural ordering and uniform tidal effects. Theapproximation is seen to perform well for predicting the microstructure in avariety of phase oscillator models.

Natural Ordering and Uniform Tidal Effects in Globally Coupled Phase Oscillator Models