IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v185y2024ics0960077924006611.html
   My bibliography  Save this article

A hidden grid multi-scroll chaotic system coined with two multi-stable memristors

Author

Listed:
  • Zhang, Lingshuang
  • Li, Zhijun
  • Peng, Yuexi

Abstract

Multi-scroll chaotic systems have been extensively used in various fields such as secure communication and image encryption due to their unique performances. In this paper, a five-dimensional grid multi-scroll chaotic system is established by introducing two multi-stable memristors into the Sprott A system. The resultant system has no equilibrium point and thus the generated multi-scroll attractors are hidden. The addition of the two multi-stable memristors can expand the original single scroll hidden attractor into a grid multi-scroll attractor. The generation mechanism of multi-scroll hidden attractors is discussed and it is found that the number of scrolls is determined by that of the stable equilibrium points of the two memristors. Thus, the number of scrolls in the multi-scroll hidden attractors can be easily controlled by adjusting the internal parameters of the multi-stable memristors. More importantly, the constructed memristive grid multi-scroll Sprott A system (MGSAS) exhibits initial-based offset enhancement in different directions and multi-scroll amplitude control behavior. Additionally, the coexistence of multiple multi-scroll hidden attractors is also observed and the number of the coexisting attractors is also dependent on that of the stable equilibrium points of the two multi-stable memristors. These interesting dynamic phenomena are examined in depth using nonlinear analysis tools. Finally, the feasibility of MGSAS is verified through Multisim circuit simulation.

Suggested Citation

  • Zhang, Lingshuang & Li, Zhijun & Peng, Yuexi, 2024. "A hidden grid multi-scroll chaotic system coined with two multi-stable memristors," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    • Handle: RePEc:eee:chsofr:v:185:y:2024:i:c:s0960077924006611
    DOI: 10.1016/j.chaos.2024.115109
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924006611
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.115109?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:chsofr:v:185:y:2024:i:c:s0960077924006611. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-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.