6 citations · 9 across the 9 of their papers we have counts for
9 papers
Uniform-in-time asymptotic limits of generalized Kuramoto models
Hangjun Cho, Seung-Yeal Ha, Myeongju Kang +1
We study two uniform-in-time asymptotic limits for generalized Kuramoto (GK) models. For these GK type models, we first derive the uniform stability estimates with respect to initi…
Measure-valued death state and local sensitivity analysis for Winfree models with uncertain high-order couplings
Seung-Yeal Ha, Myeongju Kang, Jaeyoung Yoon +1
We study the measure-valued death state and local sensitivity analysis of the Winfree model and its mean-field counterpart with uncertain high-order couplings. The Winfree model is…
Trend to equilibrium and diffusion limit for the inertial Kuramoto-Sakaguchi equation
Francis Filbet, Myeongju Kang
In this paper, we study the inertial Kuramoto-Sakaguchi equation for interacting oscillatory systems. On the one hand, we prove the convergence toward corresponding phase-homogeneo…
Emergence of phase-locked states for a deterministic and stochastic Winfree model with inertia
Myeongju Kang, Marco Rehmeier
We study the emergence of phase-locking for Winfree oscillators under the effect of inertia. It is known that in a large coupling regime, oscillators governed by the deterministic…
A Constrained Consensus Based Optimization algorithm and its Application to Finance
Hyeong-Ohk Bae, Seung-Yeal Ha, Myeongju Kang +3
In this paper, we propose a predictor-corrector type Consensus Based Optimization (CBO) algorithm on a convex feasible set. Our proposed algorithm generalizes the CBO algorithm in…
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…
Emergent behaviors of high-dimensional Kuramoto models on Stiefel manifolds
Seung-Yeal Ha, Myeongju Kang, Dohyun Kim
We study emergent asymptotic dynamics for the first and second-order high-dimensional Kuramoto models on Stiefel manifolds which extend the previous consensus models on Riemannian…
Collective behaviors of the Lohe hermitian sphere model with inertia
Seung-Yeal Ha, Myeongju Kang, Hansol Park
We present a second-order extension of the first-order Lohe hermitian sphere(LHS) model and study its emergent asymptotic dynamics. Our proposed model incorporates an inertial effe…
Emergent dynamics of the Lohe Hermitian sphere model with frustration
Seung-Yeal Ha, Myeongju Kang, Hansol Park
We study emergent dynamics of the Lohe hermitian sphere(LHS) model which can be derived from the Lohe tensor model \cite{H-P2} as a complex counterpart of the Lohe sphere(LS) model…