IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i15p3295-d1203445.html
   My bibliography  Save this article

Technique for Enhancing the Chaotic Characteristics of Chaotic Maps Using Delayed Coupling and Its Application in Image Encryption

Author

Listed:
  • Shuiyuan Huang

    (School of Mathematics and Computer Science, Nanchang University, Nanchang 330031, China)

  • Gengsheng Deng

    (Network Center, Nanchang University, Nanchang 330031, China)

  • Lingfeng Liu

    (School of Software, Nanchang University, Nanchang 330031, China)

  • Xiangjun Li

    (School of Mathematics and Computer Science, Nanchang University, Nanchang 330031, China
    School of Software, Nanchang University, Nanchang 330031, China)

Abstract

Chaotic systems are widely used in many scientific fields for their dynamic characteristics. This study proposes a new delayed coupling method, which not only disturbs the control coefficient in chaotic maps but also affects their function structure, such that using this improved method will produce chaotic maps with better effect. The numerical simulation results prove that the delayed coupling method can greatly improve the chaotic characteristics of chaotic maps. Furthermore, an image encryption algorithm based on the delayed coupling Logistic map is proposed. Several numerical simulations indicate that the image encryption algorithm has a high level of security, and can compete with other encryption algorithms.

Suggested Citation

  • Shuiyuan Huang & Gengsheng Deng & Lingfeng Liu & Xiangjun Li, 2023. "Technique for Enhancing the Chaotic Characteristics of Chaotic Maps Using Delayed Coupling and Its Application in Image Encryption," Mathematics, MDPI, vol. 11(15), pages 1-20, July.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:15:p:3295-:d:1203445
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/15/3295/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/11/15/3295/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Jie Wang & Lingfeng Liu, 2022. "A Novel Chaos-Based Image Encryption Using Magic Square Scrambling and Octree Diffusing," Mathematics, MDPI, vol. 10(3), pages 1-28, January.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Liu, Lingfeng & Wang, Jie, 2023. "A cluster of 1D quadratic chaotic map and its applications in image encryption," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 204(C), pages 89-114.

    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:gam:jmathe:v:11:y:2023:i:15:p:3295-:d:1203445. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.