IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v97y2024i11d10.1140_epjb_s10051-024-00820-2.html
   My bibliography  Save this article

Complex dynamics and encryption application of memristive chaotic system with various amplitude modulations

Author

Listed:
  • Yuanmao Zhong

    (East China Jiaotong University)

Abstract

The exploration of memristive chaotic system has garnered immense interest and attention in recent years. This paper endeavors to construct a novel four-dimensional memristive chaotic system by incorporating a third-order flux-controlled memristor into a simple chaotic system, leading to the emergence of chaos, periodicity and stability. The dynamic characteristics of the system are manifested through bifurcation diagrams, Lyapunov exponents and phase portraits. The most prominent feature of the system lies in its amplitude modulation, enabling it to achieve varying degrees of amplitude control by modulating the parameters. To validate its practical applicability, a cross-plane color image encryption algorithm has been devised and rigorously subjected to a comprehensive performance analysis. Numerical analysis results show that the NPCR and UACI are 99.6078% and 33.4661%, the correlation coefficients are close to 0, and the maximum information entropy reaches 7.9998. These results conclusively demonstrate the superior efficacy of the system in image encryption. Graphic abstract

Suggested Citation

  • Yuanmao Zhong, 2024. "Complex dynamics and encryption application of memristive chaotic system with various amplitude modulations," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(11), pages 1-18, November.
    • Handle: RePEc:spr:eurphb:v:97:y:2024:i:11:d:10.1140_epjb_s10051-024-00820-2
    DOI: 10.1140/epjb/s10051-024-00820-2
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1140/epjb/s10051-024-00820-2
    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/s10051-024-00820-2?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.

    References listed on IDEAS

    as
    1. Prasina Alexander & Selçuk Emiroğlu & Sathiyadevi Kanagaraj & Akif Akgul & Karthikeyan Rajagopal, 2023. "Infinite coexisting attractors in an autonomous hyperchaotic megastable oscillator and linear quadratic regulator-based control and synchronization," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(1), pages 1-13, January.
    2. Jie Zhang & Enze Liu, 2024. "Circuit design and image encryption of CNN chaotic system based on memristor," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(7), pages 1-19, July.
    3. Wei Feng & Xiangyu Zhao & Jing Zhang & Zhentao Qin & Junkun Zhang & Yigang He, 2022. "Image Encryption Algorithm Based on Plane-Level Image Filtering and Discrete Logarithmic Transform," Mathematics, MDPI, vol. 10(15), pages 1-24, August.
    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. Yuzhou Xi & Yu Ning & Jie Jin & Fei Yu, 2024. "A Dynamic Hill Cipher with Arnold Scrambling Technique for Medical Images Encryption," Mathematics, MDPI, vol. 12(24), pages 1-22, December.
    2. Gao, Suo & Iu, Herbert Ho-Ching & Mou, Jun & Erkan, Uğur & Liu, Jiafeng & Wu, Rui & Tang, Xianglong, 2024. "Temporal action segmentation for video encryption," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    3. Ramalingam Sriraman & Ohmin Kwon, 2024. "Global Exponential Synchronization of Delayed Quaternion-Valued Neural Networks via Decomposition and Non-Decomposition Methods and Its Application to Image Encryption," Mathematics, MDPI, vol. 12(21), pages 1-35, October.
    4. Alexandru Dinu, 2024. "Singularity, Observability, and Independence: Unveiling Lorenz’s Cryptographic Potential," Mathematics, MDPI, vol. 12(18), pages 1-12, September.
    5. Mingxu Wang & Xianping Fu & Xiaopeng Yan & Lin Teng, 2024. "A New Chaos-Based Image Encryption Algorithm Based on Discrete Fourier Transform and Improved Joseph Traversal," Mathematics, MDPI, vol. 12(5), pages 1-19, February.

    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:97:y:2024:i:11:d:10.1140_epjb_s10051-024-00820-2. 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: 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.