Solution Spectra and Stability of Current Biased Josephson Junctions in a Magnetic Field

We examine the solutions of the non-linear equations governing the behavior of a current biased Josephson junction. Both inline and overlap current bias geometries are considered. The solution space is investigated analytically and using numerical techniques. We characterize the types of solutions expected analytically and find good approximations for large magnetic fields. For small magnetic fields the solution space is large and its stability is entangled. We study this space and its stability as a function of magnetic field and applied bias current. Selective results are presented that characterize the general behavior of the solution space.