50 citations · 270 across the 50 of their papers we have counts for
53 papers
Emergent behaviors of Winfree oscillators on special orthogonal group
Seung-Yeal Ha, Chaejoo Lee, Eunjun Lee +2
We propose a generalized matrix-valued synchronization model which can be regarded as matrix generalization of the classical Winfree model to the special orthogonal group, and we p…
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…
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…
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…
An algebraic approach for the weak coupling of multiple Lohe tensor models
Seung-Yeal Ha, Dohyun Kim, Hansol Park
We present a systematic algebraic approach for the weak coupling of Cauchy problems to multiple Lohe tensor models. For this, we identify an admissible Cauchy problem to the Lohe t…
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…