Abstract
Comparing the stationary states of a mechanical pendulum and of a small under-damped Josephson junction, parametric resonance in the latter system due to an oscillating magnetic field is studied by means of a Gedanken-experiment. A second conceptual experiment shows that for rapidly oscillating magnetic fields the superconducting phase difference ϕ across the junction in the absence of bias current can attain values of ±π in the vicinity of the lower lying stationary state at ϕ=0.
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