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

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.