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

dc.creatorRoberts, David C.
dc.creatorTeodorescu, Razvan
dc.date2008-01-22
dc.date2008-05-05
dc.date.accessioned2026-07-07T12:11:31Z
dc.date.available2026-07-07T12:11:31Z
dc.descriptionUsing 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.
dc.descriptionAccepted to Eur. Phys. J; v2: slightly expanded discussion, minor corrections
dc.identifierhttps://arxiv.org/abs/0801.3449
dc.identifierhttp://arxiv.org/abs/0801.3449
dc.identifierEur. Phys. J. S. T. 165, 103-109 (2008)
dc.identifierdoi:10.1140/epjst/e2008-00853-1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210243
dc.subjectStatistical Mechanics
dc.subjectOther Condensed Matter
dc.subjectAdaptation and Self-Organizing Systems
dc.titleA linear path toward synchronization: Anomalous scaling in a new class of exactly solvable Kuramoto models
dc.typetext

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