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

Department of Mathematics

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

58 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 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
Publication status	Published - 2018 Dec

Bibliographical note

Funding Information:
YPC was supported by INHA UNIVERSITY Research Grant . ( INHA-55447 ). The authors warmly thank Professor Seung-Yeal Ha for helpful discussion and valuable comments.

Publisher Copyright:
© 2018 Elsevier Ltd

All Science Journal Classification (ASJC) codes

Applied Mathematics

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10.1016/j.aml.2018.06.018

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.",

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

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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.

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

Abstract

Bibliographical note

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