Flocking of a thermodynamic Cucker-Smale model with local velocity interactions

被引：0
作者：
Jin, Chunyin [1 ]
Li, Shuangzhi [1 ]
机构：
[1] China Agr Univ, Coll Sci, Beijing 100083, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2024年 / 44卷 / 02期
关键词：
flocking; local interaction; thermodynamical Cucker-Smale model; stochastic matrix; neighbor graph; HYDRODYNAMIC MODELS; EMERGENT BEHAVIOR; SIMPLE PROOF; DYNAMICS;
D O I：
10.1007/s10473-024-0214-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the flocking behavior of a thermodynamic Cucker-Smale model with local velocity interactions. Using the spectral gap of a connected stochastic matrix, together with an elaborate estimate on perturbations of a linearized system, we provide a sufficient framework in terms of initial data and model parameters to guarantee flocking. Moreover, it is shown that the system achieves a consensus at an exponential rate.
引用
收藏
页码：632 / 649
页数：18
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