Dynamics of capacitive Josephson-junction arrays subjected to electromagnetic radiation

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Abstract
We have studied the dynamics of regular two-dimensional Josephson-junction arrays subjected to electromagnetic radiation at frequencies comparable to the individual junction’s characteristic frequency. The junctions are described using the resistively-shunted-junction model including capacitance with the plasma frequency also comparable to the characteristic frequency. The dynamical behavior falls into several different general classes, namely, periodic, quasiperiodic, and chaotic, depending on the particular characteristics of the junctions, the input currents, and the amplitude and frequency of the radiation. Detailed examples of each of these types of behavior are given. Current-voltage characteristics are examined and related to the dynamical behavior and the junction’s properties. The effect of finite temperatures, included by means of a Langevin noise current, is also discussed, as is the stability of various types of dynamical states.