Emergent behavior of Cucker–Smale flocking particles with heterogeneous time delays

Young Pil Choi, Zhuchun Li

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We analyze the flocking behavior of a Cucker–Smale-type system with a delayed coupling, where delays are information processing and reactions of individuals. By constructing a system of dissipative differential inequalities together with a continuity argument, we provide a sufficient condition for the flocking behavior showing the velocity alignment between particles as time goes to infinity when the maximum value of time delays is sufficiently small.

Original languageEnglish
Pages (from-to)49-56
Number of pages8
JournalApplied Mathematics Letters
Volume86
DOIs
Publication statusPublished - 2018 Dec

Fingerprint

Flocking
Emergent Behavior
Time Delay
Time delay
Differential Inequalities
Type Systems
Information Processing
Alignment
Infinity
Sufficient Conditions

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

Cite this

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abstract = "We analyze the flocking behavior of a Cucker–Smale-type system with a delayed coupling, where delays are information processing and reactions of individuals. By constructing a system of dissipative differential inequalities together with a continuity argument, we provide a sufficient condition for the flocking behavior showing the velocity alignment between particles as time goes to infinity when the maximum value of time delays is sufficiently small.",
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Emergent behavior of Cucker–Smale flocking particles with heterogeneous time delays. / Choi, Young Pil; Li, Zhuchun.

In: Applied Mathematics Letters, Vol. 86, 12.2018, p. 49-56.

Research output: Contribution to journalArticle

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