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We study the dynamics of one-dimensional arrays of Josephson junctions connected in parallel by superconducting wires. These arrays are model systems for the discrete, damped sine-Gordon equation and excellent agreement between theory and experiment is obtained. The influence of boundary conditions and the coupling between two discrete sine-Gordon systems have also been investigated. In Josephson ladders, superconducting islands are connected to other islands by three Josephson junctions. The dynamics of Josephson ladders is more complicated than that of the purely 1D sine-Gordon systems.
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Zant et al. (1998) studied this question.
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