An approach is investigated to identify an invariant in a simulated robot soccer team's dynamics in order to characterize the teams' global behaviour. The invariant is being studied with the view of using fuzzy logic as a possible means for developing intelligent strategies in robot soccer. A conjecture by Korotkich that the eigenvalue spectrum of matrices associated with the dynamics of a robot soccer team is a solid invariant that may serve as a global characteristic was tested. This required setting up a virtual simulation and computation laboratory. This laboratory had to be developed 'from scratch' as this approach has never been applied to understanding robot soccer team dynamics before in the world. It is analogous to the approach physicists take when searching for a theoretical particle. The many tools that have been established through this research will be used together with fuzzy logic principles to develop winning team strategies.