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Resistive–capacitive shunted Josephson junction with unharmonic current-phase relation: Analysis and microcontroller implementation

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  • Ngongiah, Isidore Komofor
  • Ramakrishnan, Balamurali
  • Njitacke, Zeric Tabekoueng
  • Kuiate, Gaetan Fautso
  • Kingni, Sifeu Takougang

Abstract

This paper discusses the theoretical analysis and microcontroller implementation of resistive–capacitive shunted Josephson junction (JJ) with unharmonic current-phase relation. The rate equations describing the system under study exhibit no, two, or four equilibrium points and their stability are investigated.The presence of Pitchfork bifurcation depends on the unharmonic parameter and the external direct current (DC) source. The hysteresis of current–voltage characteristics in resistive–capacitive shunted JJ with unharmonic current-phase relation is sensitive to the unharmonic parameter. The system under study exhibits periodic oscillations, continuous spiking oscillations, periodic bursting oscillations, and chaotic attractors with varying shapes which are sensitive to the modulation and unharmonic parameters. Finally, the microcontroller implementation of resistive–capacitive shunted JJ with unharmonic current-phase relation is realized and the microcontroller results are qualitatively the same as those obtained during the numerical simulations.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:603:y:2022:i:c:s0378437122005040
    DOI: 10.1016/j.physa.2022.127757
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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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    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).

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