IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v98y2025i4d10.1140_epjb_s10051-025-00913-6.html
   My bibliography  Save this article

Mismatch synchronization based on 4D memristive chaotic system and its application in image encryption

Author

Listed:
  • Jie Zhang

    (Northwest Normal University
    Engineering Research Center of Gansu Province for Intelligent Information Technology and Application)

  • Jiliang Lv

    (Northwest Normal University
    Engineering Research Center of Gansu Province for Intelligent Information Technology and Application)

  • Nana Cheng

    (Northwest Normal University
    Engineering Research Center of Gansu Province for Intelligent Information Technology and Application)

  • Xiaodong Wei

    (Northwest Normal University
    Engineering Research Center of Gansu Province for Intelligent Information Technology and Application)

  • Liu Yang

    (Northwest Normal University
    Engineering Research Center of Gansu Province for Intelligent Information Technology and Application)

Abstract

A four-dimensional memristive chaotic system is proposed, and its dynamical characteristics are analyzed through conventional methods. In this system, transient chaos and bursting oscillations of the number of spikes controlled by parameters are also found. This paper also designs physical circuits and digital circuits to confirm the existence of chaotic systems. Additionally, a mismatch synchronization system is introduced, and the synchronization control is achieved using mismatch synchronization principles. Mismatch synchronization is integrated with RNA operation to develop an image encryption algorithm. The analyses show that the image encryption method proposed exhibits better performance. Graphical abstract

Suggested Citation

  • Jie Zhang & Jiliang Lv & Nana Cheng & Xiaodong Wei & Liu Yang, 2025. "Mismatch synchronization based on 4D memristive chaotic system and its application in image encryption," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 98(4), pages 1-21, April.
    • Handle: RePEc:spr:eurphb:v:98:y:2025:i:4:d:10.1140_epjb_s10051-025-00913-6
    DOI: 10.1140/epjb/s10051-025-00913-6
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1140/epjb/s10051-025-00913-6
    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/s10051-025-00913-6?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. Ding, Dawei & Xu, Xinyue & Yang, Zongli & Zhang, Hongwei & Zhu, Haifei & Liu, Tao, 2024. "Extreme multistability of fractional-order hyperchaotic system based on dual memristors and its implementation," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    2. Kocamaz, Uğur Erkin & Cevher, Barış & Uyaroğlu, Yılmaz, 2017. "Control and synchronization of chaos with sliding mode control based on cubic reaching rule," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 92-98.
    3. Faradja, Philippe & Qi, Guoyuan, 2020. "Analysis of multistability, hidden chaos and transient chaos in brushless DC motor," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    4. Chen, Qun & Li, Bo & Yin, Wei & Jiang, Xiaowei & Chen, Xiangyong, 2023. "Bifurcation, chaos and fixed-time synchronization of memristor cellular neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    5. Zambrano-Serrano, Ernesto & Bekiros, Stelios & Platas-Garza, Miguel A. & Posadas-Castillo, Cornelio & Agarwal, Praveen & Jahanshahi, Hadi & Aly, Ayman A., 2021. "On chaos and projective synchronization of a fractional difference map with no equilibria using a fuzzy-based state feedback control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 578(C).
    6. Yu, Fei & Kong, Xinxin & Yao, Wei & Zhang, Jin & Cai, Shuo & Lin, Hairong & Jin, Jie, 2024. "Dynamics analysis, synchronization and FPGA implementation of multiscroll Hopfield neural networks with non-polynomial memristor," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    7. Xiu, Chunbo & Fang, Jingyao & Liu, Yuxia, 2022. "Design and circuit implementation of a novel 5D memristive CNN hyperchaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    8. Xiu, Chunbo & Zhou, Ruxia & Liu, Yuxia, 2020. "New chaotic memristive cellular neural network and its application in secure communication system," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    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. Wang, Chunhua & Luo, Dingwei & Deng, Quanli & Yang, Gang, 2024. "Dynamics analysis and FPGA implementation of discrete memristive cellular neural network with heterogeneous activation functions," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    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. Lai, Qiang & Yang, Liang, 2023. "Discrete memristor applied to construct neural networks with homogeneous and heterogeneous coexisting attractors," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    4. Zhang, Yuman & Li, Yuxia, 2024. "Nonlinear dynamics and sliding mode control for global fixed-time synchronization of a novel 2 × 2 memristor-based cellular neural network," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).
    5. Shoreh, A.A.-H. & Kuznetsov, N.V. & Mokaev, T.N., 2022. "New adaptive synchronization algorithm for a general class of complex hyperchaotic systems with unknown parameters and its application to secure communication," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 586(C).
    6. Hu, Yongbing & Li, Qian & Ding, Dawei & Jiang, Li & Yang, Zongli & Zhang, Hongwei & Zhang, Zhixin, 2021. "Multiple coexisting analysis of a fractional-order coupled memristive system and its application in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    7. 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.
    8. Jin, Jie & Lei, Xiaoyang & Chen, Chaoyang & Li, Zhijing, 2025. "A fuzzy activation function based zeroing neural network for dynamic Arnold map image cryptography," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 230(C), pages 456-469.
    9. Hairong Lin & Chunhua Wang & Fei Yu & Jingru Sun & Sichun Du & Zekun Deng & Quanli Deng, 2023. "A Review of Chaotic Systems Based on Memristive Hopfield Neural Networks," Mathematics, MDPI, vol. 11(6), pages 1-18, March.
    10. Tiwari, Ankit & Singh, Piyush Pratap & Roy, Binoy Krishna, 2024. "A realizable chaotic system with interesting sets of equilibria, characteristics, and its underactuated predefined-time sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    11. Hongbo Cao & Faqiang Wang, 2023. "An Overview of Complex Instability Behaviors Induced by Nonlinearity of Power Electronic Systems with Memristive Load," Energies, MDPI, vol. 16(6), pages 1-25, March.
    12. Wu, Huagan & Gu, Jinxiang & Chen, Mo & Wang, Ning & Xu, Quan, 2024. "Bionic firing activities in a dual mem-elements based CNN cell," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    13. Algaba, A. & Fernández-Sánchez, F. & Merino, M. & Rodríguez-Luis, A.J., 2024. "Homoclinic behavior around a degenerate heteroclinic cycle in a Lorenz-like system," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    14. Liumeng Yang & Ruichun He & Jie Wang & Hongxing Zhao & Huo Chai, 2024. "Analysis of Dynamic Behavior of Gravity Model Using the Techniques of Road Saturation and Hilbert Curve Dimensionality Reduction," Sustainability, MDPI, vol. 16(13), pages 1-19, July.
    15. Hamid, Syeda Rabiya & Nazir, Muhammad Shahid & Rehan, Muhammad & ur Rashid, Haroon, 2019. "New results on regional observer-based stabilization for locally Lipchitz nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 173-184.
    16. Hunaish, Ahmed Sadeq & Tahir, Fadhil Rahma, 2023. "Bifurcation and chaos from drilling system driven by IFOCIM," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    17. Wang, Mengjiao & Yi, Zou & Li, Zhijun, 2025. "A memristive Ikeda map and its application in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 190(C).
    18. Huang, Pengfei & Chai, Yi & Chen, Xiaolong, 2022. "Multiple dynamics analysis of Lorenz-family systems and the application in signal detection," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    19. Chen, Mo & Wang, Ankai & Wang, Chao & Wu, Huagan & Bao, Bocheng, 2022. "DC-offset-induced hidden and asymmetric dynamics in Memristive Chua's circuit," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    20. Lin, Shanrong & Liu, Xiwei, 2023. "Synchronization and control for directly coupled reaction–diffusion neural networks with multiweights and hybrid coupling," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).

    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:98:y:2025:i:4:d:10.1140_epjb_s10051-025-00913-6. 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.