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A class of novel discrete memristive chaotic map

Author

Listed:
  • Liu, Xinkang
  • Sun, Kehui
  • Wang, Huihai
  • He, Shaobo

Abstract

Since Chua introduced the memristor as the fourth basic circuit component, memristors and memristive chaotic maps have received great attention. In this paper, we present a class of novel memristive chaotic map by coupling the discrete memristor with the internal item in an original boundary function. Several examples are presented based on classical one dimensional (1D) and high dimensional (HD) chaotic maps, and numerical simulation results display their improved dynamical performance and chaos complexity. We analyze the influences of introducing the memristor on the chaotic map and the generality for designing discrete chaotic maps of the proposed memristive model. Particularly, with the newly emerging features of no fixed points and multistability, we can robustly control the output sequence by setting their initial-states, which accommodates to many arisen applications of chaotic systems. Furthermore, based on the proposed memristive chaotic map, we construct the hardware platform to acquire its attractors, and design the Pseudorandom Number Generator (PRNG) to explore its application prospects.

Suggested Citation

  • Liu, Xinkang & Sun, Kehui & Wang, Huihai & He, Shaobo, 2023. "A class of novel discrete memristive chaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    • Handle: RePEc:eee:chsofr:v:174:y:2023:i:c:s0960077923006926
    DOI: 10.1016/j.chaos.2023.113791
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    Citations

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    Cited by:

    1. Lai, Qiang & Zhu, Chongkun & Qin, Minghong & Wan, Zhiqiang, 2025. "Complex dynamics and encryption application of a 3D dual-memristor oscillatory hyperchaotic map," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 236(C), pages 270-283.
    2. Tang, Zhouqing & Wang, Huihai & Zhu, Wanting & Sun, Kehui, 2025. "Dynamics and synchronization of fractional-order Rulkov neuron coupled with discrete fracmemristor," Chaos, Solitons & Fractals, Elsevier, vol. 192(C).
    3. Wang, Mengjiao & Yi, Zou & Li, Zhijun, 2025. "A memristive Ikeda map and its application in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 190(C).
    4. Jiang, Cuimei & Ye, Yunxiao & Zhang, Fangfang & Kou, Lei & Bao, Han & Zhang, Jianlin & Liu, Hongjun, 2025. "Hardware implementation and information security application of a novel chaotic system with a cubic memristor and complex parameters," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    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. Wang, Yanfeng & Su, Pengke & Wang, Zicheng & Sun, Junwei, 2025. "Dynamic analysis of high dimensional HNN with logistic-based memristors and application in military image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 199(P3).
    7. 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).
    8. Jiang, Defeng & Yan, Shaohui, 2025. "Reversible adaptive chaotic multi-image privacy protection scheme for efficient batch encryption of various images," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 238(C), pages 201-221.
    9. 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).
    10. 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.
    11. Sun, Xiangguang & Zheng, Jun, 2025. "A dynamic information flow control framework for hyperchaos in complex-variable systems and FPGA-based applications," Chaos, Solitons & Fractals, Elsevier, vol. 199(P3).
    12. Othman Abdullah Almatroud & Viet-Thanh Pham & Giuseppe Grassi & Mohammad Alshammari & Sahar Albosaily & Van Van Huynh, 2023. "Design of High-Dimensional Maps with Sine Terms," Mathematics, MDPI, vol. 11(17), pages 1-10, August.
    13. Fan, Zhenyi & Zhang, Chenkai & Wang, Yiming & Du, Baoxiang, 2023. "Construction, dynamic analysis and DSP implementation of a novel 3D discrete memristive hyperchaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).

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