Complete cluster predictability of the Cucker–Smale flocking model on the real line

SY Ha, J Kim, J Park, X Zhang - Archive for Rational Mechanics and …, 2019 - Springer
We present the complete predictability of clustering for the Cucker–Smale (C–S) model on
the line. Emergence of multi-cluster flocking is often observed in numerical simulations for …

[HTML][HTML] A note on the fixed-time bipartite flocking for nonlinear multi-agent systems

Q Xiao, H Liu, X Wang, Y Huang - Applied Mathematics Letters, 2020 - Elsevier
This work focuses on the fixed-time bipartite flocking control problem for multi-agent
systems. By employing the structurally balanced signed graph theory and a fixed-time …

[HTML][HTML] Time-delay effect on the flocking in an ensemble of thermomechanical Cucker–Smale particles

JG Dong, SY Ha, D Kim, J Kim - Journal of differential equations, 2019 - Elsevier
We study the communication time-delay effect on the emergent dynamics of thermodynamic
Cucker–Smale (TCS) ensemble with temperature as an internal state. In the presence of …

Interplay of time-delay and velocity alignment in the Cucker-Smale model on a general digraph

JG Dong, SY Ha, D Kim - Discrete and Continuous Dynamical …, 2019 - aimsciences.org
Interplay of time-delay and velocity alignment in the Cucker-Smale model on a general
digraph AIMS share this content in Facebook share this content in Twitter share this content …

[HTML][HTML] Complete classification of the asymptotical behavior for singular CS model on the real line

X Zhang, T Zhu - Journal of differential equations, 2020 - Elsevier
In this paper, we study the singular Cucker-Smale (CS) model on the real line. For long
range case, ie β< 1, we prove the uniqueness of the solution in the sense of Definition 2.1 …

One dimensional singular Cucker–Smale model: uniform-in-time mean-field limit and contractivity

YP Choi, X Zhang - Journal of Differential Equations, 2021 - Elsevier
We analyze the one dimensional Cucker–Smale (in short CS) model with a weak singular
communication weight ψ (x)=| x|− β with β∈(0, 1). We first establish a global-in-time …

Emergent behaviors of the Cucker–Smale ensemble under attractive–repulsive couplings and Rayleigh frictions

D Fang, SY Ha, S Jin - … Models and Methods in Applied Sciences, 2019 - World Scientific
In this paper, we revisit an interaction problem of two homogeneous Cucker–Smale (in short
CS) ensembles with attractive–repulsive couplings, possibly under the effect of Rayleigh …

Emergent behaviors of continuous and discrete thermomechanical Cucker–Smale models on general digraphs

JG Dong, SY Ha, D Kim - … models and methods in applied sciences, 2019 - World Scientific
We present emergent dynamics of continuous and discrete thermomechanical Cucker–
Smale (TCS) models equipped with temperature as an extra observable on general digraph …

Pattern formation in the Cucker-Smale model

Y Zhang - Journal of Differential Equations, 2023 - Elsevier
In this paper, we study the pattern formation phenomenon in the Cucker-Smale model with
short-range communication weight under the interaction with introduced driving force. We …

The mean-field limit of the Cucker-Smale model on complete Riemannian manifolds

H Ahn, SY Ha, D Kim, F Schlöder, W Shim - Quarterly of Applied …, 2022 - ams.org
We study the mean-field limit of the Cucker-Smale (CS) model for flocking on complete
smooth Riemannian manifolds. For this, we first formally derive the kinetic manifold CS …