Generic scaling at the onset of macroscopic mutual entrainment in limit-cycle oscillators with uniform all-to-all coupling
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TL;DR
The order function theory developed recently to deal with phase models of limit-cycle oscillators with uniform all-to-all coupling reveals that the critical exponent of an order parameter at the onset of macroscopic mutual entrainment is one for generic coupling functions, differing from the mean-field value 1/2 taken by the well-studied model with sinusoidal coupling.
Abstract
The order function theory developed recently to deal with phase models of limit-cycle oscillators with uniform all-to-all coupling reveals that the critical exponent of an order parameter at the onset of macroscopic mutual entrainment is one for generic coupling functions, differing from the mean-field value 1/2 taken by the well-studied model with sinusoidal coupling. This result is supported by numerical simulation.