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Josephson junction based on high critical-temperature superconductors: analysis, microcontroller implementation, and suppression of coexisting and chaotic attractors

Author

Listed:
  • Isidore Komofor Ngongiah

    (University of Bamenda)

  • Balamurali Ramakrishnan

    (Chennai Institute of Technology)

  • Hayder Natiq

    (Imam Ja’afar Al-Sadiq University)

  • Justin Roger Mboupda Pone

    (University of Dschang)

  • Gaetan Fautso Kuiate

    (University of Bamenda
    National Higher Polytechnic Institute, University of Bamenda)

Abstract

A Josephson junction (JJ) based on high critical-temperature superconductors described by a linear resistive–capacitive–inductance shunted junction (LRCLSJ) model with unharmonic current-phase relation (UCPR) is theoretically and experimentally investigated in this paper. The numerical simulations indicate that JJ based on high critical-temperature superconductors exhibits excitable mode, regular spiking, periodic bursting, relaxation oscillations, chaotic attractors, and coexisting attractors. The theoretical investigations are verified experimentally through the microcontroller implementation. In addition, the coexistence between chaotic and limit cycle attractors found in JJ based on high critical-temperature superconductors is controlled to the desired trajectory using the linear augmentation control method. Finally, analytical calculations and numerical simulations are carried out to show the serviceableness of the two designed single controllers in suppressing chaos in JJ based on high critical-temperature superconductors. Graphical abstract

Suggested Citation

  • 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.
    • Handle: RePEc:spr:eurphb:v:95:y:2022:i:9:d:10.1140_epjb_s10051-022-00413-x
    DOI: 10.1140/epjb/s10051-022-00413-x
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    References listed on IDEAS

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    1. 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.
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    6. Sifeu Takougang Kingni & Gaetan Fautso Kuiate & Romanic Kengne & Robert Tchitnga & Paul Woafo, 2017. "Analysis of a No Equilibrium Linear Resistive-Capacitive-Inductance Shunted Junction Model, Dynamics, Synchronization, and Application to Digital Cryptography in Its Fractional-Order Form," Complexity, Hindawi, vol. 2017, pages 1-12, October.
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    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).

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