Magnetically Coupled Circuit with Nonlinear Inductor

This paper introduces a magnetically coupled circuit with the Josephson junction, the key feature is the nonlinear inductance. The circuit equations are formulated in state variables and simulations illustrate the current - voltage dynamics for different sets of parameters. The main motivation to study Josephson junctions, from the circuit theory perspective, is to understand some basic concepts of quantum bits as superconducting circuits.