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

Young Pil Choi; Zhuchun Li

doi:10.1016/j.aml.2018.06.018

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

Young Pil Choi^*
, Zhuchun Li

^*Corresponding author for this work

School of Mathematics

Inha University

Research output: Contribution to journal › Article › peer-review

89 Scopus citations

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 language	English
Pages (from-to)	49-56
Number of pages	8
Journal	Applied Mathematics Letters
Volume	86
DOIs	https://doi.org/10.1016/j.aml.2018.06.018
State	Published - Dec 2018

Keywords

Cucker–Smale model
Emergent behavior
Flocking model
Time delay

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10.1016/j.aml.2018.06.018

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title = "Emergent behavior of Cucker–Smale flocking particles with heterogeneous time delays",

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.",

keywords = "Cucker–Smale model, Emergent behavior, Flocking model, Time delay",

author = "Choi, \{Young Pil\} and Zhuchun Li",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Ltd",

year = "2018",

month = dec,

doi = "10.1016/j.aml.2018.06.018",

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volume = "86",

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AU - Choi, Young Pil

AU - Li, Zhuchun

PY - 2018/12

Y1 - 2018/12

N2 - 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.

AB - 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.

KW - Cucker–Smale model

KW - Emergent behavior

KW - Flocking model

KW - Time delay

UR - https://www.scopus.com/pages/publications/85049109728

U2 - 10.1016/j.aml.2018.06.018

DO - 10.1016/j.aml.2018.06.018

M3 - 文章

AN - SCOPUS:85049109728

SN - 0893-9659

VL - 86

SP - 49

EP - 56

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

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

Abstract

Keywords

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