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Circuit design and image encryption of CNN chaotic system based on memristor

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  • Jie Zhang

    (Northwest Normal University)

  • Enze Liu

    (Northwest Normal University)

Abstract

A new general-purpose voltage-controlled memristor with a fourth power term is designed in this paper. Based on this memristor, a new four-dimensional chaotic system, the memristor cell neural network (CNN) chaotic system, is constructed with complex dynamic characteristics, high spectral entropy complexity (SE), and wavelet entropy complexity (C0). Combination with analysis including phase portraits, equilibrium points, dissipativity, Lyapunov exponent spectrum, bifurcation diagrams, transient phenomena, spectral entropy complexity (SE), and wavelet entropy complexity (C0), the dynamic characteristics of the new system are thoroughly explored. Constructed analog circuits for the new memristor and new memristor CNN chaotic system, and a digital circuit is implemented using a field-programmable gate array. Combining the new memristor CNN chaotic system with DNA encoding operations for image encryption applications, its excellent encryption effectiveness and high security are discovered through analysis of key sensitivity, histogram, information entropy, correlation, keyspace, and robustness. Graphical abstract

Suggested Citation

  • 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.
    • Handle: RePEc:spr:eurphb:v:97:y:2024:i:7:d:10.1140_epjb_s10051-024-00743-y
    DOI: 10.1140/epjb/s10051-024-00743-y
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    References listed on IDEAS

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    1. 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).
    2. Yue Zhu & Chunhua Wang & Jingru Sun & Fei Yu, 2023. "A Chaotic Image Encryption Method Based on the Artificial Fish Swarms Algorithm and the DNA Coding," Mathematics, MDPI, vol. 11(3), pages 1-18, February.
    3. Xiaoqiang Di & Jinqing Li & Hui Qi & Ligang Cong & Huamin Yang, 2017. "A semi-symmetric image encryption scheme based on the function projective synchronization of two hyperchaotic systems," PLOS ONE, Public Library of Science, vol. 12(9), pages 1-29, September.
    4. 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).
    5. Birong Xu & Hairong Lin & Guangyi Wang, 2020. "Hidden Multistability in a Memristor-Based Cellular Neural Network," Advances in Mathematical Physics, Hindawi, vol. 2020, pages 1-10, October.
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    Cited by:

    1. 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.

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