Chaos control on the repeated game model in electric power duopoly. (English) Zbl 1143.78373

Summary: The chaos control method combining feedback control with parameter variation is successfully applied to the dynamic repeated Cournot model in electric power duopoly. Stability control of the period-doubling bifurcation and unstable periodic orbits in the chaotic attractor of the discrete non-linear dynamic system is achieved using this method, and the numerical simulation results show that this control method is effective. In practice, by utilizing the sensitivity of the model to disturbance, electric power producers could apply a small perturbation to the chaotic system and induce a large influence on electric output in order to obtain desirable behaviour.


78M99 Basic methods for problems in optics and electromagnetic theory
65P20 Numerical chaos
93B52 Feedback control
Full Text: DOI


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