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Persistent strange attractors in 3D polymatrix replicators

2022; Elsevier BV; Volume: 438; Linguagem: Inglês

10.1016/j.physd.2022.133346

1872-8022

Telmo Peixe, Alexandre A. P. Rodrigues,

Cellular Automata and Applications

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).