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Hidden coexisting hyperchaos of new memristive neuron model and its application in image encryption

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  • Lai, Qiang
  • Lai, Cong
  • Zhang, Hui
  • Li, Chunbiao

Abstract

The neuron models have been widely applied to neuromorphic computing systems and chaotic circuits. However, discrete neuron models and their application in image encryption have not gotten a lot of attention yet. This paper first presents a novel neuron model with significant chaotic characteristics, by coupling a memristor into the proposed neuron, a memristive neuron model is further obtained. Relevant control parameter-relied dynamical evolution is demonstrated using several numerical methods. The explorations manifest that memristor can boost chaos complexity of the discrete neuron, resulting in hyperchaos, infinite coexisting hidden attractors and attractor growing. Particularly, the NIST test verifies the generated hyperchaotic sequences exhibit high complexity, which makes them applicable to many applications based on chaos. Additionally, digital experiments based on developed hardware platform are designed to implement the memristive neuron model and get the hyperchaos. We also propose a new encryption scheme to apply the memristive neuron to the application of image encryption. The evaluation results show that the conceived algorithm appears excellent security characteristics and can effectively protect the information security of images.

Suggested Citation

  • Lai, Qiang & Lai, Cong & Zhang, Hui & Li, Chunbiao, 2022. "Hidden coexisting hyperchaos of new memristive neuron model and its application in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    • Handle: RePEc:eee:chsofr:v:158:y:2022:i:c:s0960077922002272
    DOI: 10.1016/j.chaos.2022.112017
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    1. Ma, Tao & Mou, Jun & Banerjee, Santo & Cao, Yinghong, 2023. "Analysis of the functional behavior of fractional-order discrete neuron under electromagnetic radiation," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    2. Yao, Zhao & Sun, Kehui & Wang, Huihai, 2024. "Collective behaviors of fractional-order FithzHugh–Nagumo network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 639(C).
    3. Bezerra, João Inácio Moreira & Machado, Gustavo & Molter, Alexandre & Soares, Rafael Iankowski & Camargo, Vinícius, 2023. "A novel simultaneous permutation–diffusion image encryption scheme based on a discrete space map," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    4. Yang, Jie & Li, Chunbiao & Zhang, Qian & Zhang, Xin & Wu, Zhihao & Zhong, Haidong & Liu, Peiqiao & Liu, Zuohua & Tao, Changyuan & Huang, Keyu & Li, Jiaxing & Zheng, Guocan, 2024. "A memristive hyperchaotic oscillator with complete control and its application in the electrolysis of manganese," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    5. Bao, Bocheng & Chen, Liuhui & Bao, Han & Chen, Mo & Xu, Quan, 2024. "Bifurcations to bursting oscillations in memristor-based FitzHugh-Nagumo circuit," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
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    7. Mayada Abualhomos & Abderrahmane Abbes & Gharib Mousa Gharib & Abdallah Shihadeh & Maha S. Al Soudi & Ahmed Atallah Alsaraireh & Adel Ouannas, 2023. "Bifurcation, Hidden Chaos, Entropy and Control in Hénon-Based Fractional Memristor Map with Commensurate and Incommensurate Orders," Mathematics, MDPI, vol. 11(19), pages 1-19, October.
    8. Wu, Huagan & Bian, Yixuan & Zhang, Yunzhen & Guo, Yixuan & Xu, Quan & Chen, Mo, 2023. "Multi-stable states and synchronicity of a cellular neural network with memristive activation function," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    9. Yu Liu & Yan Zhou & Biyao Guo, 2023. "Hopf Bifurcation, Periodic Solutions, and Control of a New 4D Hyperchaotic System," Mathematics, MDPI, vol. 11(12), pages 1-14, June.
    10. Man, Zhenlong, 2023. "Biometric information security based on double chaotic rotating diffusion," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    11. Wang, Mingxu & Fu, Xianping & Teng, Lin & Yan, Xiaopeng & Xia, Zhiqiu & Liu, Pengbo, 2024. "A new 2D-HELS hyperchaotic map and its application on image encryption using RNA operation and dynamic confusion," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    12. Yuan, Fang & Xing, Guibin & Deng, Yue, 2023. "Flexible cascade and parallel operations of discrete memristor," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    13. 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).
    14. Lai, Qiang & Yang, Liang & Liu, Yuan, 2022. "Design and realization of discrete memristive hyperchaotic map with application in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    15. Minglin Ma & Kangling Xiong & Zhijun Li & Yichuang Sun, 2023. "Dynamic Behavior Analysis and Synchronization of Memristor-Coupled Heterogeneous Discrete Neural Networks," Mathematics, MDPI, vol. 11(2), pages 1-13, January.
    16. Xu, Quan & Wang, Kai & Chen, Mo & Parastesh, Fatemeh & Wang, Ning, 2024. "Bursting and spiking activities in a Wilson neuron circuit with memristive sodium and potassium ion channels," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    17. Zhang, Jianlin & Bao, Han & Yu, Xihong & Chen, Bei, 2024. "Heterogeneous coexistence of extremely many attractors in adaptive synapse neuron considering memristive EMI," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    18. Peng, Yuexi & Liu, Jun & He, Shaobo & Sun, Kehui, 2023. "Discrete fracmemristor-based chaotic map by Grunwald–Letnikov difference and its circuit implementation," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    19. Wang, Zhen & Ahmadi, Atefeh & Tian, Huaigu & Jafari, Sajad & Chen, Guanrong, 2023. "Lower-dimensional simple chaotic systems with spectacular features," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    20. Xu, Wanjiang & Shi, Xuerong & Jiang, Haibo & Yu, Jianjiang & Zhang, Liping & Zhuang, Lizhou & Wang, Zuolei, 2024. "A simple 4D no-equilibrium chaotic system with only one quadratic term and its application in pseudo-random number generator," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    21. Huang, Keyu & Li, Chunbiao & Cen, Xiaoliang & Chen, Guanrong, 2024. "Constructing chaotic oscillators with memory components," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    22. Wan, Qiuzhen & Li, Fei & Chen, Simiao & Yang, Qiao, 2023. "Symmetric multi-scroll attractors in magnetized Hopfield neural network under pulse controlled memristor and pulse current stimulation," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    23. 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).
    24. Ding, Dawei & Wang, Wei & Yang, Zongli & Hu, Yongbing & Wang, Jin & Wang, Mouyuan & Niu, Yan & Zhu, Haifei, 2023. "An n-dimensional modulo chaotic system with expected Lyapunov exponents and its application in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    25. Lin, Hairong & Wang, Chunhua & Sun, Jingru & Zhang, Xin & Sun, Yichuang & Iu, Herbert H.C., 2023. "Memristor-coupled asymmetric neural networks: Bionic modeling, chaotic dynamics analysis and encryption application," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).

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