24 citations · 111 across the 33 of their papers we have counts for
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Bifurcations of twisted solutions in a continuum limit for the Kuramoto model on nearest neighbor graphs
Kazuyuki Yagasaki
We study bifurcations of twisted solutions in a continuum limit (CL) for the Kuramoto model (KM) of identical oscillators defined on nearest neighbor graphs, which may be determini…
Solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature
Kazuyuki Yagasaki
We study the solvability of the Korteweg-de Vries equation under meromorphic initial conditions by quadrature when the inverse scattering transform (IST) is applied. It is a key to…
Solvability of the Zakharov-Shabat systems with meromorphic potentials by quadrature
Kazuyuki Yagasaki
We study the solvability of the general two-dimensional Zakharov-Shabat (ZS) systems with meromorphic potentials by quadrature. These systems appear in application of the inverse s…
Continuum limit of the Kuramoto model with random natural frequencies on uniform graphs
Kazuyuki Yagasaki
We study the Kuramoto model (KM) having random natural frequencies and defined on uniform graphs that may be complete, random dense or random sparse. The natural frequencies are as…
Bifurcations of synchronized solutions in a continuum limit of the Kuramoto model with two-mode interaction depending on two graphs
Kazuyuki Yagasaki
We study bifurcations of the completely synchronized state in a continuum limit (CL) for the Kuramoto model (KM) of identical oscillators with two-mode interaction depending on two…
Feedback control of the Kuramoto model defined on uniform graphs I: Deterministic natural frequencies
Kazuyuki Yagasaki
We study feedback control of the Kuramoto model with uniformly spaced natural frequencies defined on uniform graphs which may be complete, random dense or random sparse. The contro…