Flocking and collision avoidance problem of a singular Cucker–Smale model with external perturbations

Rundong Zhao, Qiming Liu and Huazong Zhang

Physica A: Statistical Mechanics and its Applications, 2022, vol. 590, issue C

Abstract: In order to study the influence of external force or external perturbation on flocking behavior, a Cucker–Smale flocking model with singular communication weight and perturbation functions is proposed. By imposing appropriate restrictions on the perturbation functions, we first prove the system does not allow any collisions between agents under certain initial conditions. Moreover, under the same conditions, we obtain the system has an asymptotic flocking. Last, we give specific examples of perturbation functions and verify the correctness of the results through numerical simulations.

Keywords: Cucker–Smale model; External perturbations; Collision-avoidance; Flocking (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:590:y:2022:i:c:s0378437121009316

DOI: 10.1016/j.physa.2021.126718

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