A linear path toward synchronization: Anomalous scaling in a new class of exactly solvable Kuramoto models
Statistical Mechanics
2008-12-11 v2 Other Condensed Matter
Adaptation and Self-Organizing Systems
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.
Keywords
Cite
@article{arxiv.0801.3449,
title = {A linear path toward synchronization: Anomalous scaling in a new class of exactly solvable Kuramoto models},
author = {David C. Roberts and Razvan Teodorescu},
journal= {arXiv preprint arXiv:0801.3449},
year = {2008}
}
Comments
Accepted to Eur. Phys. J; v2: slightly expanded discussion, minor corrections