H. How et al., NONLINEAR MIXER GAIN CALCULATIONS FOR JOSEPHSON-JUNCTIONS, IEEE transactions on microwave theory and techniques, 43(1), 1995, pp. 216-218
We have numerically solved the steady-state solutions of the initial v
alue problem associated with a current-driven Josephson weak-link junc
tion shunted by an Ohmic resistance. The nonlinear mixing action of th
e junction leads to Shapiro steps in the de response with step height
in units of the mixing frequency. Mixer gains have been calculated wit
h a nide range of parameter values and intrinsic chaos are observed wh
enever Shapiro steps are prevalent.