Author:
Bellomo Nicola,Ha Seung-Yeal,Outada Nisrine
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. The second part of the paper shows how the modeling can be developed, beyond the Cucker-Smale approach. This will be illustrated with the aid of numerical simulations in swarms whose movement strategy is sensitive to individual social behaviors. Finally, the presentation looks ahead to research perspectives.
Subject
Computational Mathematics,Control and Optimization,Control and Systems Engineering
Reference50 articles.
1. APPLICATION OF FLOCKING MECHANISM TO THE MODELING OF STOCHASTIC VOLATILITY
2. Stochastic evolutionary differential games toward a systems theory of behavioral social dynamics
3. Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives
4. Albi G,
Pareschi L.,
Toscani G. and
Zanella M., Recent advances in opinion modeling: Control and social influence, in Active Particles, edited by
Bellomo N.,
Degond P. and
Tadmor E.. Vol. 1 of
Modeling and Simulation in Science, Engineering and Technology.
Birkhäuser-Springer
(2017) 49–98.
Cited by
17 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献