A linear path toward synchronization: Anomalous scaling in a new class of exactly solvable Kuramoto models

Abstract

Using a recently introduced linear reformulation of the Kuramoto model of self-synchronizing oscillator systems (arXiv:0704.1166), we study a new class of analytically solvable oscillator systems defined by a particular coupling scheme. We show that these systems have a logarithimic scaling law in the vicinity of the critical point, which may be seen as anomalous with respect to the usual power-law behavior exhibited by the standard Kuramoto model.

Accepted to Eur. Phys. J; v2: slightly expanded discussion, minor corrections

References in corpus (2)

• The Spectrum of the Partially Locked State for the Kuramoto Model
• A linear reformulation of the Kuramoto model of self-synchronizing oscillators