Details

Autor(en) / Beteiligte

• Shen, Jackie (Jianhong)

Titel

Cucker-Smale Flocking under Hierarchical Leadership

Ist Teil von

• SIAM journal on applied mathematics, 2007-01, Vol.68 (3), p.694-719

Ort / Verlag

Philadelphia: Society for Industrial and Applied Mathematics

Erscheinungsjahr

2007

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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.