Finite-time flocking of uncountable agents

We deal with a sufficient framework for the finite-time flocking of an uncountable number of agents. To do this, we initially propose a continuum Cucker–Smale-type model, building upon the existing Cucker–Smale model designed for a finite number of agents within the continuum limit regime. Subsequen...

Full description

Saved in:
Bibliographic Details
Published in:Chaos, solitons and fractals solitons and fractals, 2024-08, Vol.185, p.115107, Article 115107
Main Author: Ahn, Hyunjin
Format: Article
Language:English
Subjects:
Continuum model
Cucker–Smale
Finite-time flocking
Uncountable agents
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We deal with a sufficient framework for the finite-time flocking of an uncountable number of agents. To do this, we initially propose a continuum Cucker–Smale-type model, building upon the existing Cucker–Smale model designed for a finite number of agents within the continuum limit regime. Subsequently, we reduce this continuum model to a suitable dissipative structure; then we present admissible data in terms of the initial data and system parameters that allow finite-time flocking to occur.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2024.115107