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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