activity
20202023
most citedEmergent behaviors of Cucker-Smale flocks on the hyperboloid

16 citations · 20 across the 5 of their papers we have counts for

collaborators

5 papers

math.CA2023

Thermodynamic Cucker-Smale ensemble with unit speed and its sufficient framework for collision avoidance

Hyunjin Ahn, Junhyeok Byeon, Seung-Yeal Ha

We investigate a Cucker-Smale-type flocking model for multi-agent systems that move with constant speed. The model incorporates both kinematic observables and internal energy (temp…

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…

math.DS2021

On a generalized Kuramoto model with relativistic effects and emergent dynamics

Chan Ho Min, Hyunjin Ahn, Seung-Yeal Ha +1

We propose a generalized Kuramoto model with relativistic effects and investigate emergent asymptotic behaviors. The proposed generalized Kuramoto model incorporates relativistic K…

math-ph2020★ 16 cited

Emergent behaviors of Cucker-Smale flocks on the hyperboloid

Hyunjin Ahn, Seung-Yeal Ha, Hansol Park +1

We study emergent behaviors of Cucker-Smale(CS) flocks on the hyperboloid in any dimensions. In a recent work \cite{H-H-K-K-M}, a first-order aggregation model on th…