Flocking dynamics and pattern motion for the Cucker-Smale system with distributed delays

Autor: Jingyi He, Changchun Bao, Le Li, Xianhui Zhang, Chuangxia Huang
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Mathematical Biosciences and Engineering, Vol 20, Iss 1, Pp 1505-1518 (2023)
Druh dokumentu: article
ISSN: 1551-0018
DOI: 10.3934/mbe.2023068?viewType=HTML
Popis: In this paper, a new class of Cucker-Smale systems with distributed delays are developed from the measurement perspective. By combining dissipative differential inequalities with a continuity argument, some new sufficient criteria for the flocking dynamics of the proposed model with general communication rate, especially the non-normalized rate, are established. In order to achieve the prescribed pattern motion, the driving force term is incorporated into the delayed collective system. Lastly, some examples and simulations are provided to illustrate the validity of the theoretical results.
Databáze: Directory of Open Access Journals