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

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

2008-01-22

arxiv.org/abs/0801.3449v2

Eur. Phys. J. S. T. 165, 103-109 (2008)

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1140/epjst/e2008-00853-1

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.

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