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math.AP2025
Uniform-in-time asymptotic limits of generalized Kuramoto models
Hangjun Cho, Seung-Yeal Ha, Myeongju Kang +1
We study two uniform-in-time asymptotic limits for generalized Kuramoto (GK) models. For these GK type models, we first derive the uniform stability estimates with respect to initi…
math.AP2024
Measure-valued death state and local sensitivity analysis for Winfree models with uncertain high-order couplings
Seung-Yeal Ha, Myeongju Kang, Jaeyoung Yoon +1
We study the measure-valued death state and local sensitivity analysis of the Winfree model and its mean-field counterpart with uncertain high-order couplings. The Winfree model is…
math.AP2023
Trend to equilibrium and diffusion limit for the inertial Kuramoto-Sakaguchi equation
Francis Filbet, Myeongju Kang
In this paper, we study the inertial Kuramoto-Sakaguchi equation for interacting oscillatory systems. On the one hand, we prove the convergence toward corresponding phase-homogeneo…