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

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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.

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Data availability statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: One can make a reasonable request to the corresponding author in case of the need for data in the present study. Furthermore, all the data can be readily generated using open-source code, by making use of the parameters listed in the text.]

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Acknowledgements

This work is partially funded by the Center for Nonlinear Systems, Chennai Institute of Technology, India via funding number CIT/CNS/2021/RD/064.

Author information

Authors and Affiliations

  1. Department of Physics, Faculty of Science, University of Bamenda, P.O. Box 39, Bamenda, Cameroon

    Isidore Komofor Ngongiah

  2. Center for Nonlinear Systems, Chennai Institute of Technology, Chennai, Tamilnadu, 600069, India

    Balamurali Ramakrishnan

  3. Information Technology College, Imam Ja’afar Al-Sadiq University, 10001, Baghdad, Iraq

    Hayder Natiq

  4. Research Unit of Automation and Applied Computer (RUAIA), Electrical Engineering Department of IUT-FV, University of Dschang, P.O. Box: 134, Bandjoun, Cameroon

    Justin Roger Mboupda Pone

  5. Department of Physics, Higher Teacher Training College, University of Bamenda, P.O. Box 39, Bamenda, Cameroon

    Gaetan Fautso Kuiate

  6. Department of Mechanical and Industrial Engineering, National Higher Polytechnic Institute, University of Bamenda, P.O. Box 39, Bamenda, Cameroon

    Gaetan Fautso Kuiate

Authors
  1. Isidore Komofor Ngongiah
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  2. Balamurali Ramakrishnan
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  3. Hayder Natiq
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  4. Justin Roger Mboupda Pone
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  5. Gaetan Fautso Kuiate
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Contributions

IKN and BR proposed the circuit under study and theoretically analyzed the rate equations describing the circuit under study. JRMP and HN did the microcontroller implementation of the circuit under study. HN and GFK participated in the data analysis at different stages. All authors contributed to the interpretation of the results and writing of the manuscript.

Corresponding author

Correspondence to Justin Roger Mboupda Pone.

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Ngongiah, I.K., Ramakrishnan, B., Natiq, H. et al. Josephson junction based on high critical-temperature superconductors: analysis, microcontroller implementation, and suppression of coexisting and chaotic attractors. Eur. Phys. J. B 95, 153 (2022). https://doi.org/10.1140/epjb/s10051-022-00413-x

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