TY - JOUR
T1 - Mathematical Analysis for Non-reciprocal-interaction-based Model of Collective Behavior
AU - Kano, Takeshi
AU - Osuka, Koichi
AU - Kawakatsu, Toshihiro
AU - Ishiguro, Akio
N1 - Funding Information:
Acknowledgment This work was supported by the Japan Science and Technology Agency CREST. The authors would like to thank Professor Ryo Kobayashi of Hiroshima University, Professor Ken Sekimoto of Université Paris-Diderot, and Professor Yuki Sugiyama of Nagoya University for their insightful suggestions.
Funding Information:
This work was supported by the Japan Science and Technology Agency CREST. The authors would like to thank Professor Ryo Kobayashi of Hiroshima University, Professor Ken Sekimoto of Université Paris-Diderot, and Professor Yuki Sugiyama of Nagoya University for their insightful suggestions.
Publisher Copyright:
©2017 The Physical Society of Japan
PY - 2017/12/15
Y1 - 2017/12/15
N2 - 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.
AB - 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.
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U2 - 10.7566/JPSJ.86.124004
DO - 10.7566/JPSJ.86.124004
M3 - Article
AN - SCOPUS:85039863308
SN - 0031-9015
VL - 86
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
IS - 12
M1 - 124004
ER -