A fuzzy q-closest alignment model

PB Mucha, J Peszek - Nonlinearity, 2024 - iopscience.iop.org
The paper examines the issue of well-posedness of the Cucker-Smale model with
communication restricted to the q-closest neighbors, known also as the Cucker-Dong model …

Asymptotic dynamics for the Cucker-Smale model with velocity control

J Byeon - arXiv preprint arXiv:2302.03272, 2023 - arxiv.org
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 …

On the Cucker-Smale ensemble with q-closest neighbors under time-delayed communications.

JG Dong, SY Ha, D Kim - Kinetic & Related Models, 2020 - search.ebscohost.com
We study time-asymptotic interplay between time-delayed communication and Cucker-
Smale (CS) velocity alignment. For this, we present two sufficient frameworks for the …

Convergence to consensus of the general finite-dimensional Cucker-Smale model with time-varying delays

C Pignotti, E Trélat - arXiv preprint arXiv:1707.05020, 2017 - arxiv.org
We consider the celebrated Cucker-Smale model in finite dimension, modelling interacting
collective dynamics and their possible evolution to consensus. The objective of this paper is …

Collision-avoiding in the singular Cucker-Smale model with nonlinear velocity couplings

I Markou - arXiv preprint arXiv:1807.00485, 2018 - arxiv.org
Collision avoidance is an interesting feature of the Cucker-Smale (CS) model of flocking that
has been studied in many works, eg [1, 2, 4, 6, 7, 20, 21, 22]. In particular, in the case of …

Finite flocking time of the nonlinear Cucker--Smale model with Rayleigh friction type using the discrete -Laplacian

JH Kim, YJ Lee, JH Park - arXiv preprint arXiv:2305.07765, 2023 - arxiv.org
The study of collective behavior in multi-agent systems has attracted the attention of many
researchers due to its wide range of applications. Among them, the Cucker-Smale model …

Convergence of velocities for the short range communicated discrete-time Cucker–Smale model

X Yin, Z Gao, D Yue, Y Fu - Automatica, 2021 - Elsevier
Most existing literature about the discrete-time Cucker− Smale model focus on the
asymptotic flocking behavior. When the communication weight has a long range, asymptotic …

Flocking of the hybrid Cucker–Smale model

J Yan, X Yin - Journal of the Franklin Institute, 2023 - Elsevier
In recent years, both the continuous-time and discrete-time Cucker–Smale models have
been widely studied. However, in the practical systems, the dynamics of the agents coupled …

Sharp conditions to avoid collisions in singular Cucker–Smale interactions

JA Carrillo, YP Choi, PB Mucha, J Peszek - Nonlinear Analysis: Real World …, 2017 - Elsevier
Abstract We consider the Cucker–Smale flocking model with a singular communication
weight ψ (s)= s− α with α> 0. We provide a critical value of the exponent α in the …

Emergence of bi-cluster flocking for agent-based models with unit speed constraint

J Cho, SY Ha, F Huang, C Jin, D Ko - Analysis and Applications, 2016 - World Scientific
We study the emergence of bi-cluster flocking for a generalized Justh–Krishnaprasad (J–K)
model and the Cucker–Smale (C–S) model with the unit speed constraint. We provide a …