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20212024
most citedAsymptotic interplay of states and adapted coupling gains in the Lohe hermitian sphere model

5 citations · 10 across the 7 of their papers we have counts for

collaborators

7 papers

math.OC2024

Discrete Consensus-Based Optimization

Junhyeok Byeon, Seung-Yeal Ha, Joong-Ho Won

We propose Discrete Consensus-Based Optimization (DCBO), a fully discrete version of the Consensus-Based Optimization (CBO) framework. DCBO is a multi-agent method for the global o…

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.CA2023

Asymptotic dynamics for the Cucker-Smale model with velocity control

Junhyeok Byeon

We study the Cucker-Smale model with a velocity control function. The Cucker-Smale model design the emergence of consensus in terms of flocking. A proposed model encompasses severa…

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.AP2021★ 1 cited

Emergent behaviors of the kinetic Lohe Hermitian sphere model

Junhyeok Byeon, Seung-Yeal Ha, Gyuyoung Hwang +1

We study a global well-posedness of measure-valued solutions to the kinetic Lohe Hermitian sphere(LHS) model derived from the Lohe tensor(LT) model on the set of rank-1 complex ten…

math-ph2021★ 5 cited

Asymptotic interplay of states and adapted coupling gains in the Lohe hermitian sphere model

Junhyeok Byeon, Seung-Yeal Ha, Hansol Park

We study emergent dynamics of the Lohe hermitian sphere (LHS) model with the same free flows under the dynamic interplay between state evolution and adaptive couplings. The LHS mod…