Solution spectra and stability of current biased Josephson junctions in a magnetic field

We examine the solutions of the non-lineal equations governing the behavior of a current biased Josephson junction. Both inline and overlap current bi as geometries are considered. The solution space is investigated analytical ly and using numerical techniques. We characterize the types of solutions e xpected analytically and find goon approximations for large magnetic fields . For small magnetic fields the solution space is large and its stability i s entangled. We study this space and its stability as a function of magneti c field and applied bias current. Selective results are presented that char acterize the general behavior of the solution space.