Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/24540
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 |
URI: | http://hdl.handle.net/10773/24540 |
DOI: | 10.3934/dcdss.2018005 |
ISSN: | 1937-1632 |
Publisher Version: | http://www.aimsciences.org/article/doi/10.3934/dcdss.2018005 |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
DCSmodel.pdf | 681.28 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.