Hidemasa Ishii (University of Tokyo)

Title : Employing dynamical modeling to understand complex phenomena: from interacting bistable systems to football ball possession

Abstract :

I have been motivated to employ dynamical modeling to understand complex phenomena in social sciences and biology.
In this seminar, I would like to introduce two projects I have worked on.
The first involves a system of diffusively coupled bistable elements, which have been utilized to study abrupt transitions in complex systems.
We analysed the influence of coupling strength over the mean escape time.
We numerically found that weak coupling facilitates escape on average, while strong coupling impedes escape [1].
We argue, although diffusive coupling both facilitates and impedes escape, the facilitating effect is dominant under weak coupling.
The second topic concerns dynamical modelling for three-versus-one ball possession in football.
In our model, motion of the players and ball is governed by a system of ODEs during a single pass.
The model is nevertheless stochastic, because the initial condition and parameters of the ODEs depend probabilistically on the final state of the previous pass.
We aim to utilize this approach to quantify the difference between high- and lower-level football teams.

[1] H. Ishii and H. Kori, Diffusive coupling facilitates and impedes noise-induced escape in interacting bistable elements, Sci Rep 14, 11019 (2024).

The seminar will take place in Room S07 at the Faculty of Sciences.