3 papers
math.DS2026
Emergent behaviors of the singular continuum Kuramoto model and its graph limit
Li Chen, Seung-Yeal Ha, Xinyu Wang +1
We study the emergent dynamics of the singular continuum Kuramoto model (in short, SCKM) and its graph limit. The SCKM takes the form of an integro-differential equation exhibiting…
math.AP2026
Relaxation dynamics of the continuum Kuramoto model with non-integrable kernels
Li Chen, Seung-Yeal Ha, Xinyu Wang +1
We study the asymptotic behavior of the continuum Kuramoto model with a fractional Laplacian-type kernel. For this, we construct global weak solutions via a two-parameter regulariz…
math.AP2025
Optimal Control for Kuramoto Model: from Many-Particle Liouville Equation to Diffusive Mean-Field Problem
Li Chen, Yucheng Wang, Valeriia Zhidkova
In this paper, we investigate the mean-field optimal control problem of a swarm of Kuramoto oscillators. Using the notion of wrapped distribution, we explain the connection between…