Cucker-Smale model with time delay

Autor: Mauro Rodriguez Cartabia
Rok vydání: 2022
Předmět:
Zdroj: Discrete & Continuous Dynamical Systems. 42:2409
ISSN: 1553-5231
1078-0947
DOI: 10.3934/dcds.2021195
Popis: We study the flocking model for continuous time introduced by Cucker and Smale adding a positive time delay \begin{document}$ \tau $\end{document}. The goal of this article is to prove that the same unconditional flocking result for the non-delayed case is valid in the delayed case. A novelty is that we do not need to impose any restriction on the size of \begin{document}$ \tau $\end{document}. Furthermore, when the unconditional flocking occurs, velocities converge exponentially fast to a common one.
Databáze: OpenAIRE