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math.DS2026
Finite-time flocking of an infinite set of Cucker-Smale particles with sublinear velocity couplings
Seung-Yeal Ha, Xinyu Wang, Fanqin Zeng
We study finite-time flocking for an infinite set of Cucker-Smale particles with sublinear velocity coupling under fixed and switching sender networks. For this, we use a component…
math.DS2025
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…