10 papers
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…
Smooth integrability of diffeomorphisms
Kazuyuki Yagasaki
Motivated by the notion of integrability introduced by Bogoyavlenskij for vector fields, we propose a definition of smooth integrability for general diffeomorphisms. In brief, we s…
Feedback control of twisted states in the Kuramoto model on nearest neighbor and complete simple graphs
Kazuyuki Yagasaki
We study feedback control of twisted states in the Kuramoto model (KM) of identical oscillators defined on deterministic nearest neighbor graphs containing complete simple ones whe…
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…
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…
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…