Flocking Behaviors under Hierarchical Leadership of Thermodynamic Cucker–Smale Particles with Multiplicative White Noise and Perturbation

Autor:	Shuobing Yang, Yinghua Jin, Aihua Hu, Yipeng Shao
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	thermodynamic Cucker–Smale model flocking hierarchical leadership white noise Science Astrophysics QB460-466 Physics QC1-999
Zdroj:	Entropy, Vol 25, Iss 3, p 417 (2023)
Druh dokumentu:	article
ISSN:	1099-4300
DOI:	10.3390/e25030417
Popis:	The thermodynamic Cucker–Smale model (TCS model) describes dynamic consistency caused by different temperatures between multi-agent particles. This paper studies the flocking behaviors of the TCS model with multiplicative white noise under hierarchical leadership. First, we introduce the corresponding model of two particles. Then, by using mathematical induction and considering the properties of differential functions, it is proved that, under certain conditions, the group can achieve flocking. Finally, we verify the conclusion through numerical simulation results. Similarly, this paper studies the above model with perturbation functions.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/9e7b5e70118f4942886899ab4a060355 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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