Persistent Strange attractors in 3D Polymatrix Replicators
arXiv:2103.11242 · doi:10.1016/j.physd.2022.133346
Abstract
We introduce a one-parameter family of polymatrix replicators defined in a three-dimensional cube and study its bifurcations. For a given interval of parameters, this family exhibits suspended horseshoes and persistent strange attractors. The proof relies on the existence of a homoclinic cycle to the interior equilibrium. We also describe the phenomenological steps responsible for the transition from regular to chaotic dynamics in our system (route to chaos).
31 pages, 17 figures