FLOCKING OF A THERMODYNAMIC CUCKER-SMALE MODEL WITH LOCAL VELOCITY INTERACTIONS  

作　　者：金春银 李双智 Chunyin JIN;Shuangzhi LI(College of Science,China Agricultural University,Beijing,100083,China)

机构地区：[1]College of Science,China Agricultural University,Beijing,100083,China

出　　处：《Acta Mathematica Scientia》2024年第2期632-649,共18页数学物理学报（B辑英文版）

基　　金：supported by the NSFC(12001530)。

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.

关 键 词：FLOCKING local interaction thermodynamical Cucker-Smale model stochastic matrix neighbor graph 

分 类 号：O175[理学—数学]