Dynamics, synchronization control of a class of discrete quantum game chaotic map

S.-f. Wang

Physica A: Statistical Mechanics and its Applications, 2022, vol. 600, issue C

Abstract: In this work, A four-dimensional (4D) discrete chaotic map model based on quantum-Cournot duopoly game is proposed, and the dynamics of this map using bounded rationality are studied. It is observed that the stable region of mapping equilibrium increases with the increase of quantum entanglement γ. and the occurrence time of bifurcation and chaos delays with the increase of mapped Nash equilibrium. In addition, A novel synchronization control approach which adopts both linear and nonlinear feedback strategies is proposed by constructing a dynamic controller. The simulation results verify the effectiveness of the proposed method.

Keywords: Quantum game; Discrete chaotic map; Quantum entanglement; Dynamic analysis; Synchronization control (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:600:y:2022:i:c:s0378437122004095

DOI: 10.1016/j.physa.2022.127596

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