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Dynamical analysis, FPGA implementation and its application to chaos based random number generator of a fractal Josephson junction with unharmonic current-phase relation

Author

Listed:
  • Sifeu Takougang Kingni

    (University of Maroua)

  • Karthikeyan Rajagopal

    (Center for Nonlinear Dynamics, Defence University
    Institute of Energy, Mekelle University)

  • Serdar Çiçek

    (Vocational School of Hacibektaş, Nevşehir Hacibektaş Veli University)

  • Andre Cheukem

    (Research Unit of automation and applied computer, Electrical Engineering Department of IUT-FV, University of Dschang)

  • Victor Kamdoum Tamba

    (IUT-Fotso Victor of Bandjoun, University of Dschang)

  • Gaetan Fautso Kuiate

    (Higher Teacher Training College, University of Bamenda)

Abstract

The dynamical characteristics and its applications to random number generator of a fractal Josephson junction with unharmonic current-phase relation (FJJUCPR) described by a linear resistive-capacitive-inductance shunted junction (LRCLSJ) model are investigated in this paper. The dependence of the equilibrium points of the system to the external current source or the unharmonic current-phase relation (UCPR) parameter is revealed and their stability are analysed. The inclusion of unharmonic current-phase relation in an ideal or a fractal Josephson junction leads to transform the spiking, bursting and relaxations oscillations to an excitable mode. While the inclusion of fractal characteristics in insulating layer of Josephson junction leads to an increase of the amplitude of the spiking, bursting and relaxations oscillations. The numerical simulations results also indicate that FJJUCPR exhibits self-excited chaotic attractors and two different shapes of hidden chaotic attractors. The FJJUCPR is implemented in field programmable gate arrays (FPGA) in order to validate the numerical simulations results. In addition, random number generator design is performed using chaotic signals of the FJJUCPR. The random number generator design results are successful in the NIST SP 800-22 test. Graphical abstract

Suggested Citation

  • Sifeu Takougang Kingni & Karthikeyan Rajagopal & Serdar Çiçek & Andre Cheukem & Victor Kamdoum Tamba & Gaetan Fautso Kuiate, 2020. "Dynamical analysis, FPGA implementation and its application to chaos based random number generator of a fractal Josephson junction with unharmonic current-phase relation," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 93(3), pages 1-11, March.
    • Handle: RePEc:spr:eurphb:v:93:y:2020:i:3:d:10.1140_epjb_e2020-100562-9
    DOI: 10.1140/epjb/e2020-100562-9
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    Cited by:

    1. Ramadoss, Janarthanan & Ngongiah, Isidore Komofor & Chamgoué, André Chéagé & Kingni, Sifeu Takougang & Rajagopal, Karthikeyan, 2023. "Fractal resistive–capacitive–inductive shunted Josephson junction: Theoretical investigation and microcontroller implementation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 611(C).
    2. Isidore Komofor Ngongiah & Balamurali Ramakrishnan & Hayder Natiq & Justin Roger Mboupda Pone & Gaetan Fautso Kuiate, 2022. "Josephson junction based on high critical-temperature superconductors: analysis, microcontroller implementation, and suppression of coexisting and chaotic attractors," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(9), pages 1-13, September.
    3. Ngongiah, Isidore Komofor & Ramakrishnan, Balamurali & Njitacke, Zeric Tabekoueng & Kuiate, Gaetan Fautso & Kingni, Sifeu Takougang, 2022. "Resistive–capacitive shunted Josephson junction with unharmonic current-phase relation: Analysis and microcontroller implementation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).

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    Keywords

    Solid State and Materials;

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