Co-evolving agents subject to local versus nonlocal barycentric interactions
Adaptation and Self-Organizing Systems
2012-06-01 v1 Exactly Solvable and Integrable Systems
Abstract
The mean-field dynamics of a collection of stochastic agents with local versus nonlocal interactions is studied via analytically soluble models. The nonlocal interactions result from a barycentric modulation of the observation range of the agents. 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.
Cite
@article{arxiv.1205.7011,
title = {Co-evolving agents subject to local versus nonlocal barycentric interactions},
author = {Max-Olivier Hongler and Roger Filliger and Olivier Gallay},
journal= {arXiv preprint arXiv:1205.7011},
year = {2012}
}
Comments
6 pages, 0 figure