IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v185y2024ics0960077924007045.html
   My bibliography  Save this article

Understanding Chua system from the perspective of Duffing

Author

Listed:
  • Cheng, Guanghui
  • Gui, Rong

Abstract

The generation methods and structure of the multi-scroll chaotic attractors in both the Chua system and the Duffing equation exhibit remarkable similarities, suggesting a potential relationship between these two systems. Specifically, the Chua system can be transformed into a Duffing-like equation. In this transformation, the second equation of the Chua system forms the main body of the Duffing equation, while the first and third equations contribute to forming potential wells. Consequently, parameters in the Chua system possess physical meanings corresponding to those in the Duffing equation, enabling us to control the Chua system as if it is a Duffing equation. By adjusting various factors such as damping coefficient, potential difference among potential wells, the shape of the potential wells, asymmetric bias, external driving force and oscillation characteristics of potential wells within Chua system framework, we can successfully obtain controllable multi-scroll chaotic attractors. The Multisim simulation circuit and analog circuit experiments have confirmed the results.

Suggested Citation

  • Cheng, Guanghui & Gui, Rong, 2024. "Understanding Chua system from the perspective of Duffing," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    • Handle: RePEc:eee:chsofr:v:185:y:2024:i:c:s0960077924007045
    DOI: 10.1016/j.chaos.2024.115152
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924007045
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.115152?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:s0960077924007045. 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.