DU Lin, ZHANG Ying, HU Gao-ge, LEI You-ming. Chaos Control for the Duopoly Cournot-Puu Model[J]. Applied Mathematics and Mechanics, 2017, 38(2): 224-232. doi: 10.21656/1000-0887.370256
Citation: DU Lin, ZHANG Ying, HU Gao-ge, LEI You-ming. Chaos Control for the Duopoly Cournot-Puu Model[J]. Applied Mathematics and Mechanics, 2017, 38(2): 224-232. doi: 10.21656/1000-0887.370256

Chaos Control for the Duopoly Cournot-Puu Model

doi: 10.21656/1000-0887.370256
Funds:  The National Natural Science Foundation of China(11672233; 11302169;11672232)
  • Received Date: 2016-08-18
  • Rev Recd Date: 2016-09-19
  • Publish Date: 2017-02-15
  • Based on the linearization method for nonlinear dynamics and the linear stability theorem, the duopoly Cournot-Puu model and the associated chaos control methods were investigated. 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.
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