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We introduce a one-parameter family of polymatrix replicators defined in athree-dimensional cube and study its bifurcations. For a given interval ofparameters, this family exhibits suspended horseshoes and persistent strangeattractors. The proof relies on the existence of a homoclinic cycle to theinterior equilibrium. We also describe the phenomenological steps responsiblefor the transition from regular to chaotic dynamics in our system (route tochaos).

Persistent Strange attractors in 3D Polymatrix Replicators