Towards a mathematical theory of behavioral swarms
Adaptation and Self-Organizing Systems
2020-06-24 v1
Abstract
This paper presents a unified mathematical theory of swarms where the dynamics of social behaviors interacts with the mechanical dynamics of self-propelled particles. The term behavioral swarms is introduced to characterize the specific object of the theory which is subsequently followed by applications. As concrete examples for our unified approach, we show that several Cucker-Smale type models with internal variables fall down to our framework. Subsequently the modeling goes beyond the Cucker-Smale approach and looks ahead to research perspectives.
Keywords
Cite
@article{arxiv.2006.12932,
title = {Towards a mathematical theory of behavioral swarms},
author = {Nicola Bellomo and Seung-Yeal Ha and Nisrine Outada},
journal= {arXiv preprint arXiv:2006.12932},
year = {2020}
}