Universality class of the route to chaos in Multilayer Triadic Percolation

Determine whether the route to chaos in the Multilayer Triadic Percolation (MTP) model follows the quasi-periodic Ruelle–Takens–Newhouse universality class associated with Neimark–Sacker bifurcations, i.e., ascertain the universality class governing the transition to chaos of the two-dimensional iterative map that defines MTP.

Background

In the paper, the authors show that multilayer triadic percolation (MTP) can undergo Neimark–Sacker bifurcations, leading to periodic or quasi-periodic oscillations. They note a potential connection between this phenomenon and the quasi-periodic route to chaos (Ruelle–Takens–Newhouse scenario), but they do not resolve the question of the precise universality class.

They explicitly defer investigating whether MTP’s route to chaos belongs to this universality class, indicating that this determination is beyond the scope of the present work and will be addressed in subsequent publications.