Abstract
A fixed-point analysis of two-dimensional Josephson junction arrays subject to dc drives is carried out analytically, at a zero temperature and in a zero magnetic field. Conditions for the existence and stability of such behavior are established, by studying in detail, the isolated triangular and square plaquette. The results are subsequently generalized to Josephson junction ladders and rectangular arrays which could contain linear defects. We deduce a closed form inductive expression for the critical surface in the space of phase configurations. All the analytic results are checked against numerical simulations.
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