Mathematical Analysis for Non-reciprocal-interaction-based Model of Collective Behavior

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9 Citations (Scopus)


In many natural and social systems, collective behaviors emerge as a consequence of non-reciprocal interaction between their constituents. As a first step towards understanding the core principle that underlies these phenomena, we previously proposed a minimal model of collective behavior based on non-reciprocal interactions by drawing inspiration from friendship formation in human society, and demonstrated via simulations that various non-trivial patterns emerge by changing parameters. In this study, a mathematical analysis of the proposed model wherein the system size is small is performed. Through the analysis, the mechanism of the transition between several patterns is elucidated.

Original languageEnglish
Article number124004
JournalJournal of the Physical Society of Japan
Issue number12
Publication statusPublished - 2017 Dec 15


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