A nonlinear functional approach for mono-cluster flocking to the discrete Cucker-Smale model
- Authors
- Dong, Jiu-Gang; Ha, Seung-Yeal; Kim, Doheon
- Issue Date
- Dec-2019
- Publisher
- International Press
- Keywords
- Collective dynamics; Cucker-smale model; Mono-cluster flocking; Multi-agent system; Nonlinear functional
- Citation
- Communications in Mathematical Sciences, v.17, no.8, pp 2239 - 2256
- Pages
- 18
- Indexed
- SCIE
SCOPUS
- Journal Title
- Communications in Mathematical Sciences
- Volume
- 17
- Number
- 8
- Start Page
- 2239
- End Page
- 2256
- URI
- https://scholarworks.bwise.kr/erica/handle/2021.sw.erica/114221
- DOI
- 10.4310/CMS.2019.v17.n8.a7
- ISSN
- 1539-6746
- Abstract
- We present a nonlinear functional approach for the discrete Cucker-Smale (C-S) model with a general communication weight, and using the monotonicity of this functional, we provide a simple sufficient condition for the emergence of a mono-cluster flocking in terms of initial data, communication weight function and system parameters. Our proposed nonlinear functionals are the discrete analogues of the continuous nonlinear functionals introduced in [S.-Y. Ha and J.-G. Liu, Commun. Math. Sci., 7:297-325, 2009]. © 2019 International Press.
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