2 citations · 4 across the 3 of their papers we have counts for
3 papers
math.DS2023
Emergent dynamics of the generalized Winfree model]{Emerging asymptotic patterns in a Winfree ensemble with higher-order couplings
Dongnam Ko, Seung-Yeal Ha, Jaeyoung Yoon
The Winfree model is a phase-coupled synchronization model which simplifies pulse-coupled models such as the Peskin model on pacemaker cells. It is well-known that the Winfree ense…
math.DS2023★ 2 cited
Interplay of geometric constraint and bonding force in the emergent behaviors of relativistic Cucker-Smale flocks
Hyunjin Ahn, Junhyeok Byeon, Seung-Yeal Ha +1
We present the relativistic analogue of the Cucker-Smale model with a bonding force on Riemannian manifold, and study its emergent dynamics. The Cucker-Smale model serves a prototy…
math.DS2021★ 2 cited
Collective behaviors of second-order nonlinear consensus models with a bonding force
Hyunjin Ahn, Junhyeok Byeon, Seung-Yeal Ha +1
We study the collective behaviors of two second-order nonlinear consensus models with a bonding force, namely the Kuramoto model and the Cucker-Smale model with inter-particle bond…