IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v95y2022i7d10.1140_epjb_s10051-022-00376-z.html
   My bibliography  Save this article

A simple butterfly-shaped chaotic system

Author

Listed:
  • Lingyun Li

    (Heilongjiang University)

  • Degui Kong

    (Heilongjiang University)

  • Zhijun Chai

    (Heilongjiang University)

  • Yunxia Wang

    (Heilongjiang University)

Abstract

In this paper, we proposed a multi-wing chaotic system based on the Sprott-B system with the nonlinear feedback method. The novel system can simultaneously generate attractors with one-wing, butterfly-shaped double-wing, and butterfly-shaped four-wing. Comparatively, the novel system is simple, which includes two quadratically nonlinear terms. In the novel system, the period-doubling bifurcation process was observed with the bifurcation diagram, and the period and chaos were confirmed with power spectra. Especially, the novel system was asymmetric about any axis and can generate asymmetric coexisting attractors. The chaotic sequences generated by the novel system had good pseudo-randomness which was confirmed by the NIST test. In addition, the feasibility of the novel system was confirmed by the hardware circuit. The novel system would be able to be widely applied in the field of secure communication. Graphical abstract

Suggested Citation

  • Lingyun Li & Degui Kong & Zhijun Chai & Yunxia Wang, 2022. "A simple butterfly-shaped chaotic system," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(7), pages 1-16, July.
    • Handle: RePEc:spr:eurphb:v:95:y:2022:i:7:d:10.1140_epjb_s10051-022-00376-z
    DOI: 10.1140/epjb/s10051-022-00376-z
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1140/epjb/s10051-022-00376-z
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1140/epjb/s10051-022-00376-z?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Liang, Bo & Hu, Chenyang & Tian, Zean & Wang, Qiao & Jian, Canling, 2023. "A 3D chaotic system with multi-transient behavior and its application in image encryption," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 616(C).

    More about this item

    Statistics

    Access and download statistics

    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:spr:eurphb:v:95:y:2022:i:7:d:10.1140_epjb_s10051-022-00376-z. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.