A new discrete cucker-smale flocking model under hierarchical leadership

Chun Hsien Li, Suh Yuh Yang

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

This paper studies the ocking behavior in a new discrete-Time Cucker-Smale model under hierarchical leadership. The features of this model are that each individual has its own intrinsic nonlinear dynamics and the inter-action between individuals follows a hierarchical leadership structure. Based on a specific matrix norm, we prove that the conditional ocking indeed occurs. Numerical experiments are given to confirm the theoretical results.

Original languageEnglish
Pages (from-to)2587-2599
Number of pages13
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume21
Issue number8
DOIs
StatePublished - Oct 2016

Keywords

  • Cucker-Smale model
  • Discrete-Time system.
  • Emergence behavior
  • Flocking
  • Hierarchical lead-ership

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