2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/210243Using 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 correctionsStatistical MechanicsOther Condensed MatterAdaptation and Self-Organizing Systemstext