Local versus nonlocal barycentric interactions in 1D agent dynamics

Details

Ressource 1Download: 2014_MBE_Hongler_Filliger_Gallay.pdf (433.12 [Ko])
State: Public
Version: Author's accepted manuscript
Serval ID
serval:BIB_DD83150E240B
Type
Article: article from journal or magazin.
Collection
Publications
Title
Local versus nonlocal barycentric interactions in 1D agent dynamics
Journal
Mathematical Biosciences and Engineering
Author(s)
Hongler  M.-O., Filliger  R., Gallay  O.
ISSN
1547-1063
Publication state
Published
Issued date
04/2014
Peer-reviewed
Oui
Volume
11
Number
2
Pages
303-315
Language
english
Abstract
The mean-field dynamics of a collection of stochastic agents evolving under local and nonlocal interactions in one dimension is studied via analytically solvable models. The nonlocal interactions between agents result from (a) a finite extension of the agents interaction range and (b) a barycentric modulation of the interaction strength. Our modeling framework is based on a discrete two-velocity Boltzmann dynamics which can be analytically discussed. Depending on the span and the modulation of the interaction range, we analytically observe a transition from a purely diffusive regime without definite pattern to a flocking evolution represented by a solitary wave traveling with constant velocity.
Keywords
Self-organized systems, Interactive stochastic agents, Transport processes, Kinetic theory, Flocking dynamics
Web of science
Open Access
Yes
Create date
10/03/2016 18:59
Last modification date
20/08/2019 17:02
Usage data