Asymptotic dynamics for the Cucker-Smale model with velocity control
Classical Analysis and ODEs
2023-02-08 v1
Abstract
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 several Cucker-Smale models, such as a speed limit model, a relativistic model, and an almost unit speed model. We provide collective behaviors of the proposed model, like mono or bi-cluster flocking, sticking, and collision avoidance, depending on the regularity and singularity of communication weight at the origin. In particular, we provide a sufficient framework to guarantee a positive lower bound of the distance between agents under strongly singular communications.
Cite
@article{arxiv.2302.03272,
title = {Asymptotic dynamics for the Cucker-Smale model with velocity control},
author = {Junhyeok Byeon},
journal= {arXiv preprint arXiv:2302.03272},
year = {2023}
}