IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v193y2025ics0960077925001018.html
   My bibliography  Save this article

Novel hyperchaotic system: Implementation to audio encryption

Author

Listed:
  • Zhou, Shuang
  • Yin, Yanli
  • Erkan, Uğur
  • Toktas, Abdurrahim
  • Zhang, Yingqian

Abstract

To overcome the limitations of existing low-dimensional chaotic systems, particularly their vulnerability to degradation, this study introduces a novel family of discrete hyper-chaotic systems, designed using a one-dimensional quadratic map. The dynamic behavior of the systems is analysed using Lyapunov exponents and sample entropy to evaluate their complexity and robustness. The results demonstrate that the proposed systems exhibit higher ergodicity, greater Lyapunov exponents and better randomness compared to existing chaotic systems. Exploiting these systems, a novel fractal K-means audio encryption (FKM-AE) algorithm is proposed, integrating fractal algorithms with the K-means grouping approach. Simulations reveal that the proposed method effectively reduces the correlation of audio messages across adjacent time intervals and robustly resists various attacks, demonstrating its high performance.

Suggested Citation

  • Zhou, Shuang & Yin, Yanli & Erkan, Uğur & Toktas, Abdurrahim & Zhang, Yingqian, 2025. "Novel hyperchaotic system: Implementation to audio encryption," Chaos, Solitons & Fractals, Elsevier, vol. 193(C).
    • Handle: RePEc:eee:chsofr:v:193:y:2025:i:c:s0960077925001018
    DOI: 10.1016/j.chaos.2025.116088
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077925001018
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2025.116088?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Luo, Yuyao & Fan, Chunlei & Xu, Chengbin & Li, Xinyu, 2024. "Design and FPGA implementation of a high-speed PRNG based on an n-D non-degenerate chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    2. Toktas, Abdurrahim & Erkan, Uğur & Gao, Suo & Pak, Chanil, 2024. "A robust bit-level image encryption based on Bessel map," Applied Mathematics and Computation, Elsevier, vol. 462(C).
    3. Natiq, Hayder & Banerjee, Santo & He, Shaobo & Said, M.R.M. & Kilicman, Adem, 2018. "Designing an M-dimensional nonlinear model for producing hyperchaos," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 506-515.
    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. SaberiKamarposhti, Morteza & Ghorbani, Amirabbas & Yadollahi, Mehdi, 2024. "A comprehensive survey on image encryption: Taxonomy, challenges, and future directions," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    2. Chai, Xiuli & Shang, Guangyu & Wang, Binjie & Gan, Zhihua & Zhang, Wenkai, 2024. "Exploiting 2D-SDMCHM and matching embedding driven by flag-shaped hexagon prediction for visually meaningful medical image cryptosystem," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    3. Hu, Long-Long & Chen, Ming-Xuan & Wang, Meng-Meng & Zhou, Nan-Run, 2024. "A multi-image encryption scheme based on block compressive sensing and nonlinear bifurcation diffusion," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    4. Ustun, Deniz & Sahinkaya, Serap, 2025. "Design of secure S-Boxes via novel 2D-Zettle chaotic map and ABC algorithm for robust image encryption," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 235(C), pages 175-204.
    5. Fan, Chunlei & Ding, Qun, 2023. "Constructing n-dimensional discrete non-degenerate hyperchaotic maps using QR decomposition," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    6. Fan, Chunlei & Ding, Qun, 2025. "Design and dynamic analysis of a class of new 3-D discrete memristive hyperchaotic maps with multi-type hidden attractors," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
    7. Cao, Hongli & Wang, Yu & Banerjee, Santo & Cao, Yinghong & Mou, Jun, 2024. "A discrete Chialvo–Rulkov neuron network coupled with a novel memristor model: Design, Dynamical analysis, DSP implementation and its application," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    8. Wu, Zihua & Zhang, Yinxing & Bao, Han & Lan, Rushi & Hua, Zhongyun, 2024. "nD-CS: A circularly shifting chaotic map generation method," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    9. Natiq, Hayder & Banerjee, Santo & Misra, A.P. & Said, M.R.M., 2019. "Degenerating the butterfly attractor in a plasma perturbation model using nonlinear controllers," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 58-68.
    10. Huang, Yibo & Wang, Ling & Li, Zhiyong & Zhang, Qiuyu, 2024. "A new 3D robust chaotic mapping and its application to speech encryption," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    11. Senouci, Sarra & Madoune, Sid Ali & Senouci, Mohammed Raouf & Senouci, Abdelkader & Tang, Zhangchun, 2025. "A novel PRNG for fiber optic transmission," Chaos, Solitons & Fractals, Elsevier, vol. 192(C).
    12. Jinlong Zhang & Heping Wen, 2024. "Secure image communication based on two-layer dynamic feedback encryption and DWT information hiding," PLOS ONE, Public Library of Science, vol. 19(8), pages 1-25, August.
    13. He, Shaobo & Hu, Kai & Wang, Mengjiao & Wang, Huihai & Wu, Xianming, 2024. "Design and dynamics of discrete dual-memristor chaotic maps and its application in speech encryption," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).

    More about this item

    Keywords

    ;
    ;
    ;

    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:eee:chsofr:v:193:y:2025:i:c:s0960077925001018. 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: 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.