Chaos control for the duopoly Cournot-Puu model

Based on the linearization method for nonlinear dynamics and the linear stability the-orem, the duopoly Cournot-Puu model and the associated chaos control methods were investi-gated. In view of the essential features of the model, the delayed feedback control (DFC) method and the adaptive control method were applied to address the chaotic behavior of this system and to control chaos during the output adjustment process in the actual economic sense. The theoretical formulations were numerically simulated. Furthermore, the rational value ranges of the control parameters were given and the economic meanings of both the introduced control methods were discussed.