arXiv Open Access 2020

Towards a mathematical theory of behavioral swarms

Nicola Bellomo Seung-Yeal Ha Nisrine Outada

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Abstrak

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.

Topik & Kata Kunci

nlin.AO

Penulis (3)

Nicola Bellomo

Seung-Yeal Ha

Nisrine Outada

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APA MLA BibTeX

Bellomo, N., Ha, S., Outada, N. (2020). Towards a mathematical theory of behavioral swarms. https://arxiv.org/abs/2006.12932

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Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓