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Minimal digital chaotic system

Author

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  • Nepomuceno, Erivelton G.
  • Lima, Arthur M.
  • Arias-García, Janier
  • Perc, Matjaž
  • Repnik, Robert

Abstract

Over the past few decades, many works have been devoted to designing simple chaotic systems based on analog electronic circuits. However, the same attention is not observed in digital chaotic systems. This paper presents a design of a digital chaotic system using a digit complement. This special case of fixed-point number representation allows us to reduce the silicon area and the number of logic elements to perform the arithmetic operations. The design presents a configurable number of bits, and it is based on the logistic map. The proposed circuit has been implemented on a reconfigurable hardware, FPGA Cyclone V, showing that the number of logic elements has been significantly reduced compared to other works in the literature.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:120:y:2019:i:c:p:62-66
    DOI: 10.1016/j.chaos.2019.01.019
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    References listed on IDEAS

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    1. Asgari Chenaghlu, Meysam & Jamali, Shahram & Nikzad Khasmakhi, Narjes, 2016. "A novel keyed parallel hashing scheme based on a new chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 216-225.
    2. Koshkin, Sergiy & Styers, Taylor, 2017. "From golden to unimodular cryptography," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 208-214.
    3. Peixoto, Márcia L.C. & Nepomuceno, Erivelton G. & Martins, Samir A.M. & Lacerda, Márcio J., 2018. "Computation of the largest positive Lyapunov exponent using rounding mode and recursive least square algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 36-43.
    4. Saha, Rahul & G, Geetha, 2017. "Symmetric random function generator (SRFG): A novel cryptographic primitive for designing fast and robust algorithms," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 371-377.
    5. Tchitnga, Robert & Fotsin, Hilaire Bertrand & Nana, Bonaventure & Louodop Fotso, Patrick Hervé & Woafo, Paul, 2012. "Hartley’s oscillator: The simplest chaotic two-component circuit," Chaos, Solitons & Fractals, Elsevier, vol. 45(3), pages 306-313.
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    Cited by:

    1. Wang, Xingyuan & Yang, Jingjing & Guan, Nana, 2021. "High-sensitivity image encryption algorithm with random cross diffusion based on dynamically random coupled map lattice model," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    2. Bullini Orlandi, Ludovico & Zardini, Alessandro & Rossignoli, Cecilia, 2021. "Highway to hell: Cultural propensity and digital infrastructure gap as recipe to entrepreneurial death," Journal of Business Research, Elsevier, vol. 123(C), pages 188-195.
    3. Nardo, Lucas G. & Nepomuceno, Erivelton G. & Arias-Garcia, Janier & Butusov, Denis N., 2019. "Image encryption using finite-precision error," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 69-78.
    4. Zheng, Jun & Hu, Hanping & Ming, Hao & Zhang, Yanxia, 2021. "Design of a hybrid model for construction of digital chaos and local synchronization," Applied Mathematics and Computation, Elsevier, vol. 392(C).

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