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

Isidore Komofor Ngongiah, Balamurali Ramakrishnan, Hayder Natiq, Justin Roger Mboupda Pone () and Gaetan Fautso Kuiate
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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

The European Physical Journal B: Condensed Matter and Complex Systems, 2022, vol. 95, issue 9, 1-13

Abstract: 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

Date: 2022
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DOI: 10.1140/epjb/s10051-022-00413-x

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