Nonlinear dynamics in one and two dimensional arrays of discrete Josephson elements

Details Nonlinear dynamics in one and two dimensional arrays of discrete Josephson elements Nonlinear dynamics in one and two dimensional arrays of discrete Josephson elements

1994-07-11

arxiv.org/abs/chao-dyn/9407004v1

Nonlinear Sciences

Chaotic Dynamics

8 pages, LaTeX file; requires the LaTeX style file P.STY, a copy of which is appended; to be published in Acta Physica Slovaca

Scientific paper

Discrete 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.

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