Persistent Strange attractors in 3D Polymatrix Replicators

Telmo Peixe and 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).

Date: 2021-03, Revised 2022-01
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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:2103.11242

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