摘要：Discretizing a differential equation may change the qualitative behaviour drastically, even if the stepsize is small.
We illustrate this by looking at the discretization of a piecewise continuous differential equation that models a population of agents playing the Rock-Paper-Scissors game.
The globally asymptotically stable equilibrium of the differential equation turns, after discretization, into a repeller surrounded by an annulus shaped
attracting region. In this region, more and more periodic orbits emerge as the discretization step approaches zero.
