An explicit representation of the monodromy transformation of the space of solutions to the nonlinear ODE, utilized for the modeling of Josephson junctions, is given. In case of positive integer order, the transformation, interpreted as the square root of the noted monodromy transformation, is derived by making use of a symmetry possessed by the associated double confluent Heun equation.

中文翻译：

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与约瑟夫森结的RSJ模型方程相关的单值映射的平方根

给出了非线性 ODE 解空间的单向变换的明确表示，用于约瑟夫森结的建模。在正整数阶的情况下，转换被解释为所提到的单项转换的平方根，它是通过利用相关联的双汇合 Heun 方程所具有的对称性来导出的。