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

Young Pil Choi, Zhuchun Li

Research output: Contribution to journalArticlepeer-review

58 Citations (Scopus)


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
Publication statusPublished - 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


Dive into the research topics of 'Emergent behavior of Cucker–Smale flocking particles with heterogeneous time delays'. Together they form a unique fingerprint.

Cite this