IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v600y2022ics0378437122004095.html
   My bibliography  Save this article

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

Author

Listed:
  • Wang, S.-f.

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.

Suggested Citation

  • Wang, S.-f., 2022. "Dynamics, synchronization control of a class of discrete quantum game chaotic map," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 600(C).
    • Handle: RePEc:eee:phsmap:v:600:y:2022:i:c:s0378437122004095
    DOI: 10.1016/j.physa.2022.127596
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437122004095
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2022.127596?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:600:y:2022:i:c:s0378437122004095. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.