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Cell-mapping techniques applied to the rf-driven Josephson junction

A. Davidson, N. F. Pedersen

DOI 10.1103/PhysRevA.36.2455 · Physical Review A

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Abstract

We apply the technique of simple cell mapping to the problem of the rf-driven Josephson junction, and show that this technique is a computation-efficient method of exploring attractors and basins in this system. We show attractors, basins, and Poincaré maps of a previously reported interior crisis, and we also explore the phase plane of a junction with extreme underdamping—an impractical problem by any other technique.

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