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Chaotic dynamics of discrete memristor-coupled Sinh map

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  • Feali, Mohammad Saeed

Abstract

In this study, a novel discrete memristor-coupled hyperbolic sine (Sinh) map is proposed for the generation of complex chaotic dynamics. The system integrates a discrete memristor model with a hyperbolic sine-based chaotic map, resulting in a two-dimensional system exhibiting complex chaotic dynamics with increased entropy and Lyapunov exponent values. Analytical and numerical results demonstrate the map's ability to produce chaos and hyperchaos through period-doubling bifurcations, as verified by Lyapunov exponent analysis and bifurcation diagrams. The digital implementation of the proposed map was achieved using piecewise linear approximations of the Sinh function to reduce computational complexity and improve real-time processing efficiency. Experimental evaluations suggest that the proposed map reduces implementation cost and increases processing speed compared to prior models. The system's ability to exhibit complex chaotic behavior suggests potential applications in secure communication and random number generation.

Suggested Citation

  • Feali, Mohammad Saeed, 2025. "Chaotic dynamics of discrete memristor-coupled Sinh map," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    • Handle: RePEc:eee:chsofr:v:196:y:2025:i:c:s096007792500493x
    DOI: 10.1016/j.chaos.2025.116480
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    References listed on IDEAS

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    1. 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).
    2. Karakaya, Barış & Gülten, Arif & Frasca, Mattia, 2019. "A true random bit generator based on a memristive chaotic circuit: Analysis, design and FPGA implementation," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 143-149.
    3. Peng, Yuexi & Sun, Kehui & He, Shaobo, 2020. "A discrete memristor model and its application in Hénon map," Chaos, Solitons & Fractals, Elsevier, vol. 137(C).
    4. Ren, Lujie & Mou, Jun & Banerjee, Santo & Zhang, Yushu, 2023. "A hyperchaotic map with a new discrete memristor model: Design, dynamical analysis, implementation and application," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    5. Nepomuceno, Erivelton G. & Lima, Arthur M. & Arias-García, Janier & Perc, Matjaž & Repnik, Robert, 2019. "Minimal digital chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 62-66.
    6. Nepomuceno, Erivelton G. & Rodrigues Junior, Heitor M. & Martins, Samir A.M. & Perc, Matjaž & Slavinec, Mitja, 2018. "Interval computing periodic orbits of maps using a piecewise approach," Applied Mathematics and Computation, Elsevier, vol. 336(C), pages 67-75.
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