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We give a theoretical study of unusual resistive (dynamic) localized statesin anisotropic Josephson junction ladders, driven by a DC current at one edge.These states comprise nonlinearly coupled rotating Josephson phases in adjacentcells, and with increasing current they are found to expand into neighboringcells by a sequence of sudden jumps. We argue that the jumps arise frominstabilities in the ladder's superconducting part, and our analyticexpressions for the peculiar voltage (rotational frequency) ratios and I-Vcurves are in very good agreement with direct numerical simulations.Comment: Accepted, Physical Review E. 5 pages, 5 figures. Revtex, with  postscript figure

Penetration of dynamic localized states in dc-driven Josephson junction ladders by discrete jumps