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Eur. Phys. J. Special Topics 165, 103-109 (2008)
DOI: 10.1140/epjst/e2008-00853-1
A linear path toward synchronization
Anomalous scaling in a new class of exactly solvable Kuramoto models
D.C. Roberts and R. TeodorescuCenter of Nonlinear Studies and Theoretical Division, Los Alamos National Laboratory
Abstract
Using a recently introduced linear reformulation of the Kuramoto model of self-synchronizing oscillator systems [1], we study a new class of analytically solvable oscillator systems defined by a particular coupling scheme. We show that these systems have a logarithmic 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.
© EDP Sciences, Springer-Verlag 2008
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