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arXiv · 2103.11242

Persistent Strange attractors in 3D Polymatrix Replicators

Telmo Peixe·Alexandre A. Rodrigues
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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).

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Telmo Peixe, Alexandre A. Rodrigues. 2021-03-20. Persistent Strange attractors in 3D Polymatrix Replicators. https://doi.org/10.1016/j.physd.2022.133346

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