Density-induced Consensus Protocol
Analysis of PDEs
2021-02-04 v1
Abstract
The paper introduces a model of collective behavior where agents receive information only from sufficiently dense crowds in their immediate vicinity. The system is an asymmetric, density-induced version of the Cucker-Smale model with short-range interactions. We prove the basic mathematical properties of the system and concentrate on the presentation of interesting behaviors of the solutions. The results are illustrated by numerical simulations.
Cite
@article{arxiv.2001.11550,
title = {Density-induced Consensus Protocol},
author = {Piotr Minakowski and Piotr B. Mucha and Jan Peszek},
journal= {arXiv preprint arXiv:2001.11550},
year = {2021}
}