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Title: On consensus in the Cucker--Smale type model on isolated time scales
Author: Martins, Natália
Malinowska, Agnieszka B.
Machado, Luís
Girejko, Ewa
Keywords: Discrete dynamical systems
Consensus formation
Cluster formation
Bounded confidence
Opinion dynamics
Time scale calculus
Issue Date: Feb-2017
Publisher: American Institute of Mathematical Sciences
Abstract: This article addresses a consensus phenomenon in a Cucker-Smale model where the magnitude of the step size is not necessarily a constant but it is a function of time. In the considered model the weights of mutual influences in the group of agents do not change. A sufficient condition under which the proposed model tends to a consensus is obtained. This condition strikingly demonstrates the importance of the graininess function in a consensus phenomenon. The results are illustrated by numerical simulations.
Peer review: yes
DOI: 10.3934/dcdss.2018005
ISSN: 1937-1632
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Appears in Collections:CIDMA - Artigos
SCG - Artigos

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