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Football displays fractal dynamics: Real-time dynamics in a football game subject to self-similarity characteristics

Date:
March 19, 2014
Source:
Springer Science+Business Media
Summary:
Football fascinates millions of fans, almost all of them unaware that the game is subject to the laws of physics. Despite their seemingly arbitrary decisions, players obey certain rules, as they constantly adjust their positions in relation to their teammates, opponents, the ball and the goal.

Physicists reveal that the real-time dynamics in a football game are subject to self-similarity characteristics in keeping with the laws of physics.

Football fascinates millions of fans, almost all of them unaware that the game is subject to the laws of physics. Despite their seemingly arbitrary decisions, players obey certain rules, as they constantly adjust their positions in relation to their teammates, opponents, the ball and the goal. A team of Japanese scientists has now analysed the time-dependent fluctuation of both the ball and all players' positions throughout an entire match. They discovered that a simple rule governs the complex dynamics of the ball and the team's front-line. These findings, published in EPJ B, could have implications for other ball games, providing a new perspective on sports science..

The authors considered two scenarios of previous football matches. Namely, they focused on a quarter-final game in the 2008 FIFA Club World Cup and a regular game in the 2011 Japanese soccer league. Using a digital video camera, they then recorded the time fluctuation in the positions of all players and the ball.

Thanks to their analysis of the time-series variation in the ball versus the front-line movements of the players, they were the first to discover that these dynamics have a fractal nature. This finding implies that the movement of the ball/front-line at any given time has a strong influence on subsequent actions. This is due to the so-called memory effect, linked to the game's fractal nature.

The authors therefore found that for professional football games, the ball possession time for one team lasts only thirty seconds, at most. As a result, the superiority of one team tends to persist for thirty seconds or less before the other team gets an opportunity to regain the advantage. The authors show that their conclusion is in broad agreement with previous studies on the 2002 FIFA World Cup.


Story Source:

The above story is based on materials provided by Springer Science+Business Media. Note: Materials may be edited for content and length.


Journal Reference:

  1. Akifumi Kijima, Keiko Yokoyama, Hiroyuki Shima, Yuji Yamamoto. Emergence of self-similarity in football dynamics. The European Physical Journal B, 2014; 87 (2) DOI: 10.1140/epjb/e2014-40987-5

Cite This Page:

Springer Science+Business Media. "Football displays fractal dynamics: Real-time dynamics in a football game subject to self-similarity characteristics." ScienceDaily. ScienceDaily, 19 March 2014. <www.sciencedaily.com/releases/2014/03/140319085455.htm>.
Springer Science+Business Media. (2014, March 19). Football displays fractal dynamics: Real-time dynamics in a football game subject to self-similarity characteristics. ScienceDaily. Retrieved July 31, 2014 from www.sciencedaily.com/releases/2014/03/140319085455.htm
Springer Science+Business Media. "Football displays fractal dynamics: Real-time dynamics in a football game subject to self-similarity characteristics." ScienceDaily. www.sciencedaily.com/releases/2014/03/140319085455.htm (accessed July 31, 2014).

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