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

  • Chunyin JIN ,
  • Shuangzhi LI
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  • College of Science, China Agricultural University, Beijing 100083, China
Shuangzhi LI, E-mail: lsz1006237128@163.com

Received date: 2023-02-28

  Revised date: 2023-06-28

  Online published: 2024-04-16

Supported by

Jin's work was supported by the NSFC (12001530).

Abstract

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.

Cite this article

Chunyin JIN , Shuangzhi LI . FLOCKING OF A THERMODYNAMIC CUCKER-SMALE MODEL WITH LOCAL VELOCITY INTERACTIONS[J]. Acta mathematica scientia, Series B, 2024 , 44(2) : 632 -649 . DOI: 10.1007/s10473-024-0214-z

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