Effect of additional cycles in the food quiver on fixed points and convergence

Ascertain whether adding additional cycles that pass through a given vertex in the food quiver—such as introducing an M{content}M–Ice cream–Cookie three-cycle alongside the M{content}M–Cookie two-cycle—changes the fixed point or convergence rate of the coupled recursion defining the associated bi-∞ limits, and characterize any such changes.

Background

The authors introduce homological foods governed by cycles in a directed food quiver and conjecture that quiver topology influences limits.

For the M{content}M–Cookie system, they suggest comparing the limit from the two-cycle alone with the limit when additional cycles pass through the Cookie vertex, but they note that the outcome is currently unknown.