Persistent Strange attractors in 3D Polymatrix Replicators
Dynamical Systems
2022-06-15 v2 Theoretical Economics
Populations and Evolution
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).
Cite
@article{arxiv.2103.11242,
title = {Persistent Strange attractors in 3D Polymatrix Replicators},
author = {Telmo Peixe and Alexandre A. Rodrigues},
journal= {arXiv preprint arXiv:2103.11242},
year = {2022}
}
Comments
31 pages, 17 figures