Project CEMAPRE internal
| Title | Switching Dynamics in Polymatrix Replicators |
| Participants | Telmo Peixe (Principal Investigator) |
| Summary | This project builds on the rich framework of Evolutionary Game Theory, focusing on ordinary differential equations defined on polytopes. Previous work by P. Duarte (2011), H. Alishah, P. Duarte, and T. Peixe (2015, 2020), and T. Peixe and A. Rodrigues (2022) has developed techniques to analyze the asymptotic dynamics along heteroclinic networks formed by polytope edges and vertices. Polymatrix replicators, a specific class of these systems, have been extensively studied, including permanence (T. Peixe, 2021), persistent strange attractors (T. Peixe and A. Rodrigues, 2022), Hamiltonian dynamics (H. Alishah, P. Duarte, and T. Peixe, 2023), and heteroclinic cycle stability (T. Peixe and A. Rodrigues, 2023). |