2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150465Discrete arrays of Josephson junction elements differ from their continuum counterparts in two essential ways: i) localized dynamic states in discrete arrays, which are not present in the corresponding continuum system, can interact with other excitations that are present; ii) fluxoid quantization for the non-superconducting `holes' provides a constraint for discrete arrays that is not present in the corresponding continuum system. The consequences of these effects in one-dimensional systems are now beginning to be understood; in two-dimesional systems, on the other hand, the picture is not yet altogether clear. Progress in fabrication technology and potential applications in practical electronic devices -- as well as intrinsic interest in nonlinear dynamics -- have contributed significantly to the growing interest in these systems.8 pages, LaTeX file; requires the LaTeX style file P.STY, a copy of which is appended; to be published in Acta Physica Slovaca.; parment@salerno.infn.itChaotic DynamicsNonlinear dynamics in one and two dimensional arrays of discrete Josephson elementstext