IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v31y2023i06ns0218348x23401369.html
   My bibliography  Save this article

A Discrete Memristor Coupled Two-Dimensional Generalized Square Hyperchaotic Maps

Author

Listed:
  • YANJIE MA

    (School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, P. R. China†School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, P. R. China)

  • JUN MOU

    (School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, P. R. China†School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, P. R. China)

  • JINSHI LU

    (School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, P. R. China)

  • SANTO BANERJEE

    (��Department of Mathematical Sciences, Giuseppe Luigi Lagrange, Politecnico di Torino, Corso Duca Degli Abruzzi 24, Torino, Italy)

  • YINGHONG CAO

    (School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, P. R. China†School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, P. R. China)

Abstract

In this paper, a new discrete chaotic map is constructed by introducing a discrete memristor in two-dimensional generalized square maps to enhance its chaotic performance. First, the fixed points of the new maps are analyzed, and the effects of different parameters on the system performance are investigated by bifurcation diagrams, Lyapunov exponential spectra and phase diagrams. Second, the fixed points of the new maps are analyzed, and the effects of different parameters on the system performance are investigated by bifurcation diagrams, Lyapunov exponential spectra and phase diagrams. The distinctive characteristic of a discrete system is the coexistence of various types of attractors, and there is coexistence of hyperchaos and cycles in the present maps. It is worth mentioning that symmetric chaotic attractors with different positive and negative parameters are found during the study. In addition, the phenomenon of state transition between chaos and cycles is also found. Finally, the discrete maps are designed and implemented using a DSP platform. The results of the study provide a reference for the application of discrete amnesic chaotic maps.

Suggested Citation

  • Yanjie Ma & Jun Mou & Jinshi Lu & Santo Banerjee & Yinghong Cao, 2023. "A Discrete Memristor Coupled Two-Dimensional Generalized Square Hyperchaotic Maps," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(06), pages 1-10.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:06:n:s0218348x23401369
    DOI: 10.1142/S0218348X23401369
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X23401369
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X23401369?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:wsi:fracta:v:31:y:2023:i:06:n:s0218348x23401369. 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: Tai Tone Lim (email available below). General contact details of provider: https://www.worldscientific.com/worldscinet/fractals .

    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.