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arXiv · 1902.03819

Emergent behavior of Cucker-Smale model with normalized weights and distributed time delays

Young-Pil Choi·Cristina Pignotti
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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.

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Young-Pil Choi, Cristina Pignotti. 2019-07-15. Emergent behavior of Cucker-Smale model with normalized weights and distributed time delays. https://arxiv.org/abs/1902.03819

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