Control of the triple chaotic attractor in a Cournot triopoly model

Abstract The Cournot triopoly model may possess a triple chaotic attractor. In the paper, we present an approach for controlling the three coexisting chaotic attractors by means of steering the system dynamics from one attractor to another. The control scheme is based on predictive control. We give the design procedure and show by numerical results the effectiveness of the control in presence of the input constraints of the system.

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