Origin of the Unique Feature of a Phase Transition in a Class of Large Populations of Coupled Oscillators

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Abstract
On the basis of a renormalization procedure we discuss the mechanism which produces a curious discrepancy between subcritical and supercritical exponents discovered recently for the divergence of intrinsic fluctuations of an order parameter at the onset of mutual entrainment in large populations of weakly and uniformly coupled limit-cycle oscillators.

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