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math.DS2026
Emergent behaviors of Winfree oscillators on special orthogonal group
Seung-Yeal Ha, Chaejoo Lee, Eunjun Lee +2
We propose a generalized matrix-valued synchronization model which can be regarded as matrix generalization of the classical Winfree model to the special orthogonal group, and we p…
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…