Flocking behaviours of a delayed collective model with local rule and critical neighbourhood situation

Jun Wu and Yicheng Liu

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 179, issue C, 238-252

Abstract: It is of particular significance in both theories and applications to understand how self-organized particles use limited environment and simple rules to organize into ordered emergence. In this paper, we study a modified Cucker–Smale-type system with a simple and local cut-off weight. Also, a communication delay is introduced into both the velocity adjoint terms and the cut-off weight. We extend the previous criteria for flocking to the delayed model, using an approach based on the invariant subspace decomposition in the infinite-dimensional space. For the noncritical neighbourhood situation, a criterion of flocking emergence with an exponential convergent rate is established by the standard arguments on the functional differential system. For the general neighbourhood situation, when all the switching intervals have a uniform minimum gap, another criterion of flocking emergence is also found.

Keywords: Nonsymmetric Cucker–Smale system; Flocking emergence; Time delay; Critical neighbourhood situation (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475420302822
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:179:y:2021:i:c:p:238-252

DOI: 10.1016/j.matcom.2020.08.015

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().