Codimension Two Bifurcation Analysis of a Discrete Coupled Competition Duopoly Game

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DOI: https://doi.org/10.28924/2291-8639-24-2026-12
Published: Jan 12, 2026
Cite as:
A.A. Elsadany, Abdulaziz Almaslokh, S. M. Salman, Codimension Two Bifurcation Analysis of a Discrete Coupled Competition Duopoly Game, Int. J. Anal. Appl., 24 (2026), 12.

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A.A. Elsadany, Abdulaziz Almaslokh, S. M. Salman

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.

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