The Cucker-Smale model with time delay

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

paper · pdf · doi:10.48550/arxiv.2008.09530

19 pages, 2 figures

arxiv created 2020/08/21 · arxiv updated 2020/08/24

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.

Cited by

• Time-delayed opinion dynamics with leader-follower interactions: consensus, stability, and mean-field limits

Related

• Asymptotic flocking in the Cucker-Smale model with reaction-type delays in the non-oscillatory regime
• A note on the Cucker-Smale model with time delay and communication failures
• Exponential asymptotic flocking in the Cucker-Smale model with distributed reaction delays
• Emergent behavior of Cucker-Smale flocking particles with time delays
• Flocking in the Cucker-Smale model with self-delay and nonsymmetric interaction weights