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math.DS2025
Inertia perturbation theory for the inertial Kuramoto model
Hangjun Cho, Jiu-Gang Dong, Seung-Yeal Ha +1
In this work, we study the inertial Kuramoto model, which is a second-order extension of the classical first-order Kuramoto model, as an inertial perturbation of the first-order Ku…
math.DS2025
Quantitative relaxation dynamics from generic initial configurations in the inertial Kuramoto model
Hangjun Cho, Jiu-Gang Dong, Seung-Yeal Ha +1
We study the relaxation dynamics of the inertial Kuramoto model toward a phase-locked state from a generic initial phase configuration. For this, we propose a sufficient framework…