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arXiv · 0801.3449

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

David C. Roberts·Razvan Teodorescu
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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.

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David C. Roberts, Razvan Teodorescu. 2008-05-05. A linear path toward synchronization: Anomalous scaling in a new class of exactly solvable Kuramoto models. https://doi.org/10.1140/epjst%2Fe2008-00853-1

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