A new flocking model through body attitude coordination
File(s)
Accepted version
Published version
Author(s)
Degond, PAA
Frouvelle, A
Merino-Aceituno, S
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.
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.
Date Issued
2017-05-23
Date Acceptance
2016-05-28
Citation
Mathematical Models & Methods in Applied Sciences, 2017, 27
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.
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.
License URL
Sponsor
The Royal Society
Engineering & Physical Science Research Council (EPSRC)
Grant Number
WM130048
EP/M006883/1
Subjects
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.MP
0102 Applied Mathematics
Applied Mathematics
Publication Status
Published
Article Number
1005