THE DELAYED CUCKER-SMALE MODEL WITH ATTRACTIVE POWER-LAW POTENTIALS

被引：0

作者：

Nie, Long ^{[1
]}

Chen, Zili ^{[1
]}

机构：

[1] Nanchang Univ, Sch Math & Comp Sci, Dept Math, Nanchang 330031, Jiangxi, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2023年 / 21卷 / 05期

关键词：

Cucker-Smale model; time delay; consensus; ASYMPTOTIC FLOCKING; EMERGENT BEHAVIOR; CONTROL-SYSTEMS; SIMPLE PROOF; CONSENSUS; DYNAMICS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the large-time behavior of the delayed Cucker-Smale model with attractive power-law potentials. By making full use of the energy fluctuation and another Lyapunov functional involving the communication function, it is proved that this model achieves consensus, i.e. velocity difference and space diameter converge to zero. More importantly, the precise convergence rate is established.

引用

页码：1321 / 1332

页数：12

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