Open AccessCucker-Smale model with time delay
Author(s) -
Mauro Rodríguez Cartabia
Publication year - 2022
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.289
H-Index - 70
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2021195
Subject(s) - flocking (texture) , novelty , mathematics , combinatorics , discrete mathematics , computer science , physics , theology , philosophy , quantum mechanics
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.