Cucker-Smale Flocking under Hierarchical Leadership

2006/10/25 by Jackie, Shen Shen, Shen · 6 citations
Computer Science · Medicine · Social Sciences · #Distributed Control Multi-Agent Systems #Evolutionary Game Theory and Cooperation #FOS: Biological sciences #Mathematical and Theoretical Epidemiology and Ecology Models #Populations and Evolution (q-bio.PE) #Quantitative Methods (q-bio.QM)

paper · pdf · doi:10.48550/arxiv.q-bio/0610048

openalex publication_date 2006/10/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A mathematical theory on flocking serves the foundation for several ubiquitous multi-agent phenomena in biology, ecology, sensor networks, economy, 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.

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