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Collective aggregation of a linearly coupled stochastic Cucker–Smale ensemble on asymmetric networks
Author(s) -
Bae HyeongOhk,
Ha SeungYeal,
Kim Doheon,
Kim Yongsik,
Lim Hyuncheul,
Yoo Jane
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6856
Subject(s) - herding , stochastic dynamics , statistical physics , mathematics , order (exchange) , stochastic modelling , computer science , mathematical optimization , economics , physics , statistics , forestry , geography , finance
We study the stochastic aggregation of linearly coupled Cucker–Smale (CS) particles on several asymmetric networks. Our proposed first‐order stochastic CS model was motivated as a stochastic dynamics modeling on the rates of multiasset return. In this study, we consider three asymmetric networks and study sufficient conditions toward stochastic aggregation for each proposed network. We also provide several numerical and empirical examples and compare them with theoretical results. In financial applications, we regard particles or agents as analysts and study their herding behavior based on our proposed model.