Emergence of self-similarity in football dynamics

被引：0
|
作者：
Akifumi Kijima
Keiko Yokoyama
Hiroyuki Shima
Yuji Yamamoto
机构：
[1] Graduate School of Education,Department of Environmental Sciences & Interdisciplinary Graduate School of Medicine and Engineering
[2] University of Yamanashi,undefined
[3] Division of Applied Physics,undefined
[4] Faculty of Engineering,undefined
[5] Hokkaido University,undefined
[6] Japan Society for the Promotion of Science,undefined
[7] University of Yamanashi,undefined
[8] Research Center of Health,undefined
[9] Physical Fitness and Sports & Department of Psychology and Human Developmental Sciences,undefined
[10] Nagoya University,undefined
来源：
The European Physical Journal B | 2014年 / 87卷
关键词：
Statistical and Nonlinear Physics;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The multiplayer dynamics of a football game is analyzed to unveil self-similarities in the time evolution of player and ball positioning. Temporal fluctuations in both the team-turf boundary and the ball location are uncovered to follow the rules of fractional Brownian motion with a Hurst exponent of H ~ 0.7. The persistence time below which self-similarity holds is found to be several tens of seconds, implying a characteristic time scale that governs far-from-equilibrium motion on a playing field.
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