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Grid-scroll memristive chaotic system with application to image encryption

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  • Lai, Qiang
  • Chen, Zhijie

Abstract

The construction of multi-scroll chaotic systems has been a hot research topic in recent years. In this paper, a four-dimensional multi-scroll chaotic system is established on the basis of a simple three-dimensional chaotic system by adding a flux-controlled non-volatile memristor. After that, a novel system is extended to generate grid-scroll chaotic attractors by replacing the linear term in the multi-scroll chaotic system with a triangular wave function. The evolution of chaos is studied by means of bifurcation diagrams and Lyapunov exponent diagrams. The existence of coexisting attractors is observed, and the attraction basin of coexisting attractors is drawn. In addition, the partial amplitude of the proposed system can be controlled by adjusting the parameters. The results of circuit implementation are consistent with the numerical simulation, verifying the physical existence of the system. Finally, according to the proposed grid-scroll memristive chaotic system, a new image encryption algorithm is designed. It adopts a novel confusion-diffusion structure to scramble and diffuse all pixels of the plain-image. And the security analysis experiments are performed to verify the good encryption performance of the proposed scheme such as information entropy analysis, correlation coefficient analysis, differential attack analysis and robustness analysis.

Suggested Citation

  • Lai, Qiang & Chen, Zhijie, 2023. "Grid-scroll memristive chaotic system with application to image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    • Handle: RePEc:eee:chsofr:v:170:y:2023:i:c:s0960077923002424
    DOI: 10.1016/j.chaos.2023.113341
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    References listed on IDEAS

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    Cited by:

    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. Remus-Daniel Ene & Nicolina Pop, 2023. "Approximate Closed-Form Solutions for a Class of 3D Dynamical Systems Involving a Hamilton–Poisson Part," Mathematics, MDPI, vol. 11(23), pages 1-26, November.
    3. 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).
    4. Sundarapandian Vaidyanathan & Ahmad Taher Azar & Ibrahim A. Hameed & Khaled Benkouider & Esteban Tlelo-Cuautle & Brisbane Ovilla-Martinez & Chang-Hua Lien & Aceng Sambas, 2023. "Bifurcation Analysis, Synchronization and FPGA Implementation of a New 3-D Jerk System with a Stable Equilibrium," Mathematics, MDPI, vol. 11(12), pages 1-22, June.
    5. Wang, Shaofu, 2023. "A novel memristive chaotic system and its adaptive sliding mode synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    6. 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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