Hidden and self-exited attractors in a heterogeneous Cournot oligopoly model

TL;DR

This paper demonstrates through numerical analysis that a heterogeneous Cournot oligopoly model can exhibit hidden and self-excited attractors, revealing complex dynamics beyond simple equilibrium states.

Contribution

It introduces the existence of hidden and self-excited attractors in a heterogeneous Cournot model, supported by extensive numerical bifurcation analysis.

Findings

Multiple attractors coexistence windows identified

Hidden attractors are present despite a single equilibrium

Numerical bifurcation diagrams illustrate complex dynamics

Abstract

In this paper it is numerically proved that a heterogeneous Cournot oligopoly model presents hidden and self-excited attractors. The system has a single equilibrium and a line of equilibria. The bifurcation diagrams show that the system admits several attractors coexistence windows, where the hidden attractors can be found. Intensive numerical tests have been done.