Dynamics of flocking models with two species

Electronic Journal of Differential Equations

article

Qingjian Zhao¹  Shaoyun Shi²  Wenlei Li¹ 

[1] School of Mathematics Jilin University Changchun 130012;School of Mathematics & State key laboratory of automotive simulation and control Jilin University Changchun 130012

关键词: Flocking dynamics;    discrete model;    LaSalle invariance principle;    invariant manifold.;   

DOI  :  10.58997/ejde.2021.104

学科分类：数学（综合）

来源: Texas State University

【 摘 要 】

This article studies the flocking behavior of self-organized agents in two species. First, referring to the work of Olfati-Saber and the classical Cucker-Smale model, we establish a discrete system describing the flocking dynamic of the agents in two species. Second, by using the LaSalle's invariance principle, we show that the system with global interaction will achieve unconditional time-asymptotic flocking, and the system with local interaction has a time-asymptotic flocking under certain assumptions. Moreover, we investigate the local asymptotic stability of a class of flocking solutions. Finally, some numerical simulations and qualitative results are presented.

【 授权许可】

CC BY