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

  title={Emergent behavior of Cucker-Smale model with normalized weights and distributed time delays},
  author={Young-Pil Choi and Cristina Pignotti},
  journal={Networks Heterog. Media},
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… 
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