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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中文翻译：

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基于高临界温度超导体的约瑟夫森结：分析、微控制器实现以及共存和混沌吸引子的抑制

本文在理论上和实验上研究了基于具有非谐波电流-相位关系 (UCPR) 的线性电阻-电容-电感分流结 (LRCLSJ) 模型描述的高临界温度超导体的约瑟夫森结 (JJ)。数值模拟表明，基于高临界温度超导体的 JJ 表现出可激发模式、规则尖峰、周期性爆发、弛豫振荡、混沌吸引子和共存吸引子。通过微控制器实现对理论研究进行了实验验证。此外，在JJ中发现的基于高临界温度超导体的混沌和极限循环吸引子之间的共存被使用线性增强控制方法控制到所需的轨迹。最后，

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