Persistent Strange attractors in 3D Polymatrix Replicators

• Tác giả: Telmo Peixe, Alexandre A Rodrigues
• Ngôn ngữ: eng
• Ký hiệu phân loại: 514.74 Global analysis
• Thông tin xuất bản: 2021
• Bộ sưu tập: Metadata
• ID: 166553

Tóm tắt

Comment: 31 pages, 17 figuresWe 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).