76 citations · 300 across the 26 of their papers we have counts for
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math.DS2009★ 1 cited
Linear stability of the incoherent solution and the transition formula for the Kuramoto-Daido model
Hayato Chiba
The Kuramoto-Daido model, which describes synchronization phenomena, is a system of ordinary differential equations on -torus defined as coupled harmonic oscillators, whose natu…
math.DS2009★ 54 cited
Extension and Unification of Singular Perturbation Methods for ODEs Based on the Renormalization Group Method
Hayato Chiba
The renormalization group (RG) method is one of the singular perturbation methods which is used in search for asymptotic behavior of solutions of differential equations. In this ar…
nlin.AO2009★ 21 cited
Stability of an [N/2]-dimensional invariant torus in the Kuramoto model at small coupling
Hayato Chiba, Diego Pazó
When the natural frequencies are allocated symmetrically in the Kuramoto model there exists an invariant torus of dimension [N/2]+1 (N is the population size). A global phase shift…