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math.DS2016★ 4 cited
The mean field analysis for the Kuramoto model on graphs I. The mean field equation and transition point formulas
Hayato Chiba, Georgi S. Medvedev
In his classical work on synchronization, Kuramoto derived the formula for the critical value of the coupling strength corresponding to the transition to synchrony in large ensembl…
math.DS2016★ 2 cited
A Hopf bifurcation in the Kuramoto-Daido model
Hayato Chiba
A Hopf bifurcation in the Kuramoto-Daido model is investigated based on the generalized spectral theory and the center manifold reduction for a certain class of frequency distribut…
math.DS2016
A center manifold reduction of the Kuramoto-Daido model with a phase-lag
Hayato Chiba
A bifurcation from the incoherent state to the partially synchronized state of the Kuramoto-Daido model with the coupling function is investi…