Regular Article - Statistical and Nonlinear Physics
Josephson junction based on high critical-temperature superconductors: analysis, microcontroller implementation, and suppression of coexisting and chaotic attractors
Department of Physics, Faculty of Science, University of Bamenda, P.O. Box 39, Bamenda, Cameroon
2 Center for Nonlinear Systems, Chennai Institute of Technology, 600069, Chennai, Tamilnadu, India
3 Information Technology College, Imam Ja’afar Al-Sadiq University, 10001, Baghdad, Iraq
4 Research Unit of Automation and Applied Computer (RUAIA), Electrical Engineering Department of IUT-FV, University of Dschang, P.O. Box: 134, Bandjoun, Cameroon
5 Department of Physics, Higher Teacher Training College, University of Bamenda, P.O. Box 39, Bamenda, Cameroon
6 Department of Mechanical and Industrial Engineering, National Higher Polytechnic Institute, University of Bamenda, P.O. Box 39, Bamenda, Cameroon
Accepted: 29 August 2022
Published online: 16 September 2022
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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