Codimension Two Bifurcation Analysis of a Discrete Coupled Competition Duopoly Game
Abstract
This paper analytically examines the coupled competition duopoly game model. This study examines the codimension-two bifurcations of different types of the model through bifurcation theory and numerical continuation methods. The model undergoes codimension-two bifurcation, heteroclinic bifurcation near the 1:2 point, a homoclinic structure near the 1:3 resonance point, and an invariant cycle bifurcated by a period 4 orbit near the 1:4 resonance point. Subsequently, numerical simulations are performed to validate the theoretical study.
Fields of Study & Subjects
Advanced Differential Equations and Dynamical Systems
Mathematical and Theoretical Epidemiology and Ecology Models
Chaos control and synchronization
Publication details
- Journal / source
- International Journal of Analysis and Applications
- Volume
- 24
- Pages
- 12–12
- Publication date
- 12 January 2026