On the mathematical modeling of soccer dynamics

• Type: Article in International Scientific Journal
• Date: 2017

Authors

José Tenreiro Machado (Author) Other; António Mendes Lopes (Author) FEUP

Journal

Title: Communications in Nonlinear Science and Numerical Simulation

Vol. 53

Pages: 142-153

ISSN: 1007-5704

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 9 Citations

ISI Web of Science

Scopus - 9 Citations

Other information

Authenticus ID: P-00M-SK0

DOI: 10.1016/j.cnsns.2017.04.024

Abstract (EN): This paper addresses the modeling and dynamical analysis of soccer teams. Two modeling perspectives based on the concepts of fractional calculus are adopted. In the first, the power law behavior and fractional-order integration are explored. In the second, a league season is interpreted in the light of a system where the teams are represented by objects (particles) that evolve in time and interact (collide) at successive rounds with dynamics driven by the outcomes of the matches. The two proposed models embed implicitly details of players and coaches, or strategical and tactical maneuvers during the matches. Therefore, the scale of observation focuses on the teams behavior in the scope of the observed variables. Data characterizing two European soccer leagues in the season 2015-2016 are adopted and processed. The model leads to the emergence of patterns that are analyzed and interpreted.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 12