The Cucker-Smale model with time delay

2020/08/21 by Cartabia, Mauro Rodriguez · 1 citation
#Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2008.09530

Abstract

We study the classical Cucker-Smale model in continuous time with a positive time delay τ. As in the non-delayed case, unconditional flocking occurs when β≤ 1/2 for every τ>0. Furthermore, we prove the exponential decay for the diameter of the velocities.

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