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

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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

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Statistical Mechanics, Other Condensed Matter, Adaptation and Self-Organizing Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/210243

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0801.3449
 http://arxiv.org/abs/0801.3449
 Eur. Phys. J. S. T. 165, 103-109 (2008)
 doi:10.1140/epjst/e2008-00853-1

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arXiv