We study a bioremediation model that arises in restoring ground water and soil contaminated with organic pollutants. It describes an in situ bioredimedation scenario in which a sorbing substrate of c...
In order to study how the convergence of many variable-response neurons on a single target can sharpen timing information, we investigate the limit as the number of input neurons and the number of in...
You are not logged in to this journal. Log in
Cucker–Smale Flocking under Hierarchical Leadership
SIAM J. Appl. Math. Volume 68, Issue 3, pp. 694-719 (2007)
Published December 19, 2007
Connotea
CiteULike
del.icio.us
BibSonomy
A mathematical theory on flocking serves the foundation for several ubiquitous multiagent phenomena in biology, ecology, sensor networks, and economics, as well as social behavior like language emergence and evolution. Directly inspired by the recent fundamental works of Cucker and Smale on the construction and analysis of a generic flocking model, we study the emergent behavior of Cucker–Smale flocking under hierarchical leadership. The rates of convergence towards asymptotically coherent group patterns in different scenarios are established. The consistent convergence towards coherent patterns may well reveal the advantages and necessities of having leaders and leadership in a complex (biological, technological, economic, or social) system with sufficient intelligence.
©2007 Society for Industrial and Applied Mathematics| History: | Received October 24, 2006; accepted September 21, 2007; published December 19, 2007 |
| Permalink: | http://dx.doi.org/10.1137/060673254 |
KEYWORDS and AMS
PUBLICATION DATA
SIAM