A linear path toward synchronization
Anomalous scaling in a new class of exactly solvable Kuramoto models
Center of Nonlinear Studies and Theoretical Division, Los Alamos National Laboratory, New Mexico, 87545, U.S.A.
Using a recently introduced linear reformulation of the Kuramoto model of self-synchronizing oscillator systems , 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