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arXiv · 2001.11550

Density-induced Consensus Protocol

Piotr Minakowski·Piotr B. Mucha·Jan Peszek
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Abstract

The paper introduces a model of collective behavior where agents receive information only from sufficiently dense crowds in their immediate vicinity. The system is an asymmetric, density-induced version of the Cucker-Smale model with short-range interactions. We prove the basic mathematical properties of the system and concentrate on the presentation of interesting behaviors of the solutions. The results are illustrated by numerical simulations.

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Piotr Minakowski, Piotr B. Mucha, Jan Peszek. 2020-01-30. Density-induced Consensus Protocol. https://doi.org/10.1142/s0218202520500451

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