Abstract | ||
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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. |
Year | DOI | Venue |
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2018 | 10.1016/j.aml.2018.06.018 | Applied Mathematics Letters |
Keywords | Field | DocType |
Flocking model,Time delay,Emergent behavior,Cucker–Smale model | Value of time,Flocking (texture),Applied mathematics,Differential inequalities,Information processing,Coupling,Mathematical analysis,Dissipative system,Flocking (behavior),Infinity,Mathematics | Journal |
Volume | ISSN | Citations |
86 | 0893-9659 | 0 |
PageRank | References | Authors |
0.34 | 1 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Young-Pil Choi | 1 | 3 | 4.51 |
Zhuchun Li | 2 | 16 | 5.00 |