Abstract
We present ansatz dynamical equations for current-driven two-dimensional square Josephson-junction arrays with magnetic flux per unit plaquette f such that the ground states form «staircase» configurations. For f=p/q, we need only (q+1) variables to specify a dynamical staircase state; a large reduction is thus achieved in computing time. I-V curves for f=1/3 and 2/5 obtained from these equations for dc plus ac driving are identical to those from simulations of lq×lq arrays. We see fractional Shapiro steps for dc plus ac current driving as well as much weaker subharmonic Shapiro steps in some circumstances
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