A new flocking model through body attitude coordination

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Title: A new flocking model through body attitude coordination
Authors: Degond, PAA
Frouvelle, A
Merino-Aceituno, S
Item Type: Journal Article
Abstract: We present a new model for multi-agent dynamics where each agent is described by its position and body attitude: agents travel at a constant speed in a given direction and their body can rotate around it adopting di erent con gurations. In this manner, the body attitude is described by three orthonormal axes giving an element in SO (3) (rotation matrix). Agents try to coordinate their body attitudes with the ones of their neighbours. In the present paper, we give the Individual Based Model (particle model) for this dynamics and derive its corresponding kinetic and macroscopic equations.
Issue Date: 23-May-2017
Date of Acceptance: 28-May-2016
URI: http://hdl.handle.net/10044/1/41253
DOI: https://dx.doi.org/10.1142/S0218202517400085
ISSN: 1793-6314
Publisher: World Scientific Publishing
Journal / Book Title: Mathematical Models & Methods in Applied Sciences
Volume: 27
Copyright Statement: © The Author(s) This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC-BY) License. Further distribution of this work is permitted, provided the original work is properly cited.
Sponsor/Funder: The Royal Society
Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: WM130048
EP/M006883/1
Keywords: Science & Technology
Physical Sciences
Mathematics, Applied
Mathematics
Body attitude coordination
collective motion
Vicsek model
generalized collision invariant
rotation group
SELF-PROPELLED PARTICLES
DRIVEN PARTICLES
PHASE-TRANSITION
SUPPLY CHAINS
VICSEK MODEL
LIMIT
HYDRODYNAMICS
ROTATIONS
DYNAMICS
CORPORA
math-ph
math-ph
math.MP
0102 Applied Mathematics
Applied Mathematics
Publication Status: Published
Article Number: 1005
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences



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