Resonances of dynamical checkerboard states in Josephson arrays with self-inductance

Abstract

We study the dynamics of fully frustrated, underdamped Josephson arrays. Experiments reveal remarkable similarities among the dc current-voltage characteristics of several kinds of square and triangular arrays, where two resonant voltages are observed. Simulations indicate that a dynamical checkerboard solution underlies these similarities. By assuming such a solution, we reduce the governing equations to three coupled pendulum equations, and thereby calculate the voltages of the intrinsic resonances analytically.

5 pages, 3 figures included by psfig, to appear in Phys.Rev.B, Fig.1 corrected

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