Resonances of dynamical checkerboard states in Josephson arrays with self-inductance
M. Barahona, E. Trias, T. P. Orlando, A. E. Duwel, H. S. J. van der Zant, S. Watanabe, S. H. Strogatz
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.
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