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.

引用

下载

共 50 条

[11] Self-similarity dynamics of on-off intermittency
Fujisaka, H
Suetani, H
Watanabe, T
PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT, 2000, (139): : 70 - 82
[12] Homeostasis and self-similarity of biological system dynamics
Kryazhimskii F.V.
Doklady Biological Sciences, 2007, 413 (1) : 156 - 158
[13] Self-similarity of price fluctuations and market dynamics
Fujiwara, Y
Fujisaka, H
EMPIRICAL SCIENCE OF FINANCIAL FLUCTUATIONS: THE ADVENT OF ECONOPHYSICS, 2002, : 186 - 194
[14] Stability and dynamics of self-similarity in evolution equations
Bernoff, Andrew J.
Witelski, Thomas P.
JOURNAL OF ENGINEERING MATHEMATICS, 2010, 66 (1-3) : 11 - 31
[15] Convergence to self-similarity for ballistic annihilation dynamics
Alonso, Ricardo J.
Bagland, Veronique
Lods, Bertrand
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2020, 138 : 88 - 163
[16] Measurement and Analysis of Self-similarity for Chaotic Dynamics
Liu, Hong-fei
Yang, Zu-yuan
Zhang, Shou-gui
Yuan, Zhong-jun
Gan, Jian-chao
FUZZY INFORMATION AND ENGINEERING, VOLUME 2, 2009, 62 : 829 - +
[17] Stability and dynamics of self-similarity in evolution equations
Andrew J. Bernoff
Thomas P. Witelski
Journal of Engineering Mathematics, 2010, 66 : 11 - 31
[18] SELF-SIMILARITY
LEWELLEN, GB
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1993, 23 (03) : 1023 - 1040
[19] DYNAMICS AND SELF-SIMILARITY IN MIN-DRIVEN CLUSTERING
Menon, Govind
Niethammer, Barbara
Pego, Robert L.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 362 (12) : 6591 - 6618
[20] Self-similarity in an Exchangeable Site-Dynamics Model
Ben-Ari, Iddo
Schinazi, Rinaldo B.
JOURNAL OF STATISTICAL PHYSICS, 2022, 188 (02)

← 1 2 3 4 5 →