期刊论文

Flocking of Thermodynamic Cucker-Smale Models Affected by Neighbors

中文

南华大学学报(自然科学版)

1673-0062

2023

37

02

82-90

10.19431/j.cnki.1673-0062.2023.02.012

2020JJ6003:湖南省自然科学基金项目 2021JJ30567:湖南省自然科学基金项目 20A425:湖南省教育厅重点项目

本校为第一机构

针对受最近邻居影响下的连续热力学Cucker-Smale模型的集群问题，本文基于图论和状态转移矩阵相关理论进行分析，并且结合Peano-Baker数列，证明了系统中粒子个数■时，系统发生无条件集群，并给出数值模拟例子验证了结论的正确性。

For the flocking problem of continuous thermodynamic Cucker-Smale model under the influence of the nearest neighbor model,based on graph theory and state transition matrix theory,and combined with the Peano-Baker series,it is proved that when the number of particles q≥N...MORE For the flocking problem of continuous thermodynamic Cucker-Smale model under the influence of the nearest neighbor model,based on graph theory and state transition matrix theory,and combined with the Peano-Baker series,it is proved that when the number of particles q≥N...