当前位置: X-MOL 学术Ann. I. H. Poincaré – AN › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
A game of alignment: Collective behavior of multi-species
Annales de l'Institut Henri Poincaré C, Analyse non linéaire ( IF 1.8 ) Pub Date : 2020-10-27 , DOI: 10.1016/j.anihpc.2020.10.003
Siming He 1 , Eitan Tadmor 2
Affiliation  

We study the (hydro-)dynamics of multi-species driven by alignment. What distinguishes the different species is the protocol of their interaction with the rest of the crowd: the collective motion is described by different communication kernels, ϕαβ, between the crowds in species α and β. We show that flocking of the overall crowd emerges provided the communication array between species forms a connected graph. In particular, the crowd within each species need not interact with its own kind, i.e., ϕαα=0; different species which are engaged in such ‘game’ of alignment require a connecting path for propagation of information which will lead to the flocking of overall crowd. The same methodology applies to multi-species aggregation dynamics governed by first-order alignment: connectivity implies concentration around an emerging consensus.



中文翻译:

对齐游戏:多物种的集体行为

我们研究由对齐驱动的多物种的(流体)动力学。不同物种的区别在于它们与其他人群互动的协议:集体运动由不同的通信内核描述,φαβ,在物种αβ的人群之间。我们表明,如果物种之间的通信阵列形成一个连通图,就会出现整体人群的聚集。特别是,每个物种内的人群需要与它自己的一种互动,即φαα=0; 参与这种对齐“游戏”的不同物种需要一条连接路径来传播信息,这将导致整个人群蜂拥而至。相同的方法适用于由一阶对齐控制的多物种聚集动态:连通性意味着围绕新兴共识的集中。

更新日期:2020-10-27
down
wechat
bug