Name
Title | ||
|---|---|---|
Emergent behavior of Cucker-Smale model with normalized weights and distributed time delays |
Abstract | ||
|---|---|---|
We study a Cucker-Smale-type flocking model with distributed time delay where individuals interact with each other through normalized communication weights. Based on a Lyapunov functional approach, we provide sufficient conditions for the velocity alignment behavior. We then show that as the number of individuals N tends to infinity, the N-particle system can be well approximated by a delayed Vlasov alignment equation. Furthermore, we also establish the global existence of measure-valued solutions for the delayed Vlasov alignment equation and its large-time asymptotic behavior. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.3934/nhm.2019032 | NETWORKS AND HETEROGENEOUS MEDIA |
Keywords | Field | DocType |
Cucker-Smale model,time delay,flocking,Vlasov equation | Flocking (texture),Normalization (statistics),Mathematical analysis,Infinity,Lyapunov functional,Asymptotic analysis,Mathematics | Journal |
Volume | Issue | ISSN |
14 | 4 | 1556-1801 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Young-Pil Choi | 1 | 3 | 4.51 |
| Cristina Pignotti | 2 | 73 | 13.08 |