IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v187y2024ics0960077924009950.html
   My bibliography  Save this article

Novel 1-D enhanced Log-logistic chaotic map and asymmetric generalized Gaussian apertured FrFT for image encryption

Author

Listed:
  • Wang, Meng-meng
  • Song, Xin-guang
  • Zhou, Nan-run
  • Liu, Si-hang

Abstract

This paper proposes a 1-D enhanced Log-logistic chaotic map (1-DELLCM) and an asymmetric generalized Gaussian apertured fractional Fourier transform (AGGAFrFT). The 1-DELLCM is a new chaotic map that introduces the nonlinear function log2(1 + x) into the traditional logistic map. This modification leads to a more intricate behavior and an expanded spectrum of chaos. On the other hand, the AGGAFrFT utilizes the asymmetric generalized Gaussian distribution with three shaping parameters as the soft aperture in the fractional Fourier optical system. This design choice enables the AGGAFrFT to exhibit a low-pass filtering performance, which helps to resist noise attacks to some extent. To bolster the sensitivity of the three shaping parameters, an iterative image encryption algorithm has been devised to create an apertured phase mask utilized for encrypting images. Based on the experimental outcomes, the sensitivities of the three shaping parameters, fractional order, and wavelength for AGGAFrFT are found to be at least up to 10−15. Additionally, experimental findings demonstrate that incorporating 1-DELLCM and AGGAFrFT into the proposed algorithm significantly bolsters the encryption process's security, rendering it resilient against diverse attacks, particularly noise attacks.

Suggested Citation

  • Wang, Meng-meng & Song, Xin-guang & Zhou, Nan-run & Liu, Si-hang, 2024. "Novel 1-D enhanced Log-logistic chaotic map and asymmetric generalized Gaussian apertured FrFT for image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    • Handle: RePEc:eee:chsofr:v:187:y:2024:i:c:s0960077924009950
    DOI: 10.1016/j.chaos.2024.115443
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924009950
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.115443?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. Long, Guoqiang & Chai, Xiuli & Gan, Zhihua & Jiang, Donghua & He, Xin & Sun, Mengge, 2023. "Exploiting one-dimensional exponential Chebyshev chaotic map and matching embedding for visually meaningful image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    2. Çavuşoğlu, Ünal & Kaçar, Sezgin & Pehlivan, Ihsan & Zengin, Ahmet, 2017. "Secure image encryption algorithm design using a novel chaos based S-Box," Chaos, Solitons & Fractals, Elsevier, vol. 95(C), pages 92-101.
    3. Zhu, Shenli & Deng, Xiaoheng & Zhang, Wendong & Zhu, Congxu, 2023. "Secure image encryption scheme based on a new robust chaotic map and strong S-box," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 207(C), pages 322-346.
    4. Wang, Xingyuan & Du, Xiaohui, 2022. "Pixel-level and bit-level image encryption method based on Logistic-Chebyshev dynamic coupled map lattices," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    5. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Hao Zhang & Xiufang Feng & Jingyu Sun & Pengfei Yan, 2025. "Chaotic Image Security Techniques and Developments: A Review," Mathematics, MDPI, vol. 13(12), pages 1-28, June.

    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. Tong, Xiaojun & Liu, Xilin & Zhang, Miao & Wang, Zhu, 2024. "A high-quality visual image encryption algorithm utilizing the conservative chaotic system and adaptive embedding," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    2. Huang, Yuanyuan & Huang, Huijun & Huang, Yunchang & Wang, Yinhe & Yu, Fei & Yu, Beier & Liu, Chenghao, 2024. "Asymptotic shape synchronization in three-dimensional chaotic systems and its application in color image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    3. Tatlıcıoğlu, Buğçe Eminağa, 2024. "A simple chaotic system using signum function," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 225(C), pages 1072-1088.
    4. Guidong Zhang & Yanhao Zhao & Yanpei Zheng & Yulin Shen & Jun Huang, 2025. "A Fast Image Encryption Scheme Based on a Four-Dimensional Variable-Parameter Hyperchaotic Map and Cyclic Shift Strategy," Mathematics, MDPI, vol. 13(9), pages 1-30, April.
    5. 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).
    6. Erendira Corona-Bermúdez & Juan Carlos Chimal-Eguía & Uriel Corona-Bermúdez & Mario Eduardo Rivero-Ángeles, 2023. "Chaos Meets Cryptography: Developing an S-Box Design with the Rössler Attractor," Mathematics, MDPI, vol. 11(22), pages 1-16, November.
    7. Sahoo, Shilalipi & Roy, Binoy Krishna, 2022. "Design of multi-wing chaotic systems with higher largest Lyapunov exponent," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    8. Chen, Jinbao & Liu, Shaohua & Wang, Yunhe & Hu, Wenqing & Zou, Yidong & Zheng, Yang & Xiao, Zhihuai, 2024. "Generalized predictive control application scheme for nonlinear hydro-turbine regulation system: Based on a precise novel control structure," Energy, Elsevier, vol. 296(C).
    9. García-Guerrero, E.E. & Inzunza-González, E. & López-Bonilla, O.R. & Cárdenas-Valdez, J.R. & Tlelo-Cuautle, E., 2020. "Randomness improvement of chaotic maps for image encryption in a wireless communication scheme using PIC-microcontroller via Zigbee channels," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    10. Hongyan Zang & Mengdan Tai & Xinyuan Wei, 2022. "Image Encryption Schemes Based on a Class of Uniformly Distributed Chaotic Systems," Mathematics, MDPI, vol. 10(7), pages 1-21, March.
    11. Garipcan, Ali Murat & Aydin, Yılmaz & Özkaynak, Fatih, 2025. "An efficient 2D hyper chaos and DNA encoding-based s-box generation method using chaotic evolutionary improvement algorithm for nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
    12. Contreras-Reyes, Javier E. & Kharazmi, Omid, 2023. "Belief Fisher–Shannon information plane: Properties, extensions, and applications to time series analysis," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    13. Liu, Xilin & Tong, Xiaojun & Zhang, Miao & Wang, Zhu, 2023. "A highly secure image encryption algorithm based on conservative hyperchaotic system and dynamic biogenetic gene algorithms," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    14. Tuli, Rohan & Soneji, Hitesh Narayan & Churi, Prathamesh, 2022. "PixAdapt: A novel approach to adaptive image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    15. Abdul Nasir Khan & Abid Mehmood & Muhammad Nasir Mumtaz Bhutta & Iftikhar Ahmed Khan & Atta ur Rehman Khan, 2024. "An efficient and compromise-resilient image encryption scheme for resource-constrained environments," PLOS ONE, Public Library of Science, vol. 19(4), pages 1-30, April.
    16. Nardo, Lucas G. & Nepomuceno, Erivelton G. & Arias-Garcia, Janier & Butusov, Denis N., 2019. "Image encryption using finite-precision error," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 69-78.
    17. Lai, Qiang & Hu, Genwen & Erkan, Uǧur & Toktas, Abdurrahim, 2023. "High-efficiency medical image encryption method based on 2D Logistic-Gaussian hyperchaotic map," Applied Mathematics and Computation, Elsevier, vol. 442(C).
    18. Yildirim, Gokce & Tanyildizi, Erkan, 2023. "An innovative approach based on optimization for the determination of initial conditions of continuous-time chaotic system as a random number generator," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    19. Shenli Zhu & Xiaoheng Deng & Wendong Zhang & Congxu Zhu, 2023. "Image Encryption Scheme Based on Newly Designed Chaotic Map and Parallel DNA Coding," Mathematics, MDPI, vol. 11(1), pages 1-22, January.
    20. Lai, Qiang & Chen, Yidan, 2025. "Effect of electromagnetic radiation on double-loop neural networks and its application to image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 194(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:187:y:2024:i:c:s0960077924009950. 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.