Cucker-Smale model with time delay
Autor: | Mauro Rodriguez Cartabia |
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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 |
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