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

被引：0

作者：

He, Jingyi ^{[1
]}

Bao, Changchun ^{[2
]}

Li, Le ^{[2
]}

Zhang, Xianhui ^{[1
]}

Huang, Chuangxia ^{[1
]}

机构：

[1] Changsha Univ Sci & Technol, Sch Math & Stat, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China

[2] Natl Univ Def Technol, Sch Meteorol & Oceanog, Changsha 410073, Peoples R China

来源：

MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2023年 / 20卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Cucker-Smale model; flocking behavior; distributed delay; pattern motion; EMERGENT BEHAVIOR; TIME-DELAY; NONLINEAR-SYSTEMS; MODEL; LEADERSHIP; STABILITY; VELOCITY; WEIGHTS;

D O I：

10.3934/mbe.2023068

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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 gen-eral 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.

引用

页码：1505 / 1518

页数：14

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