Crises in a driven Josephson junction studied by cell mapping

Mads Peter Sørensen, A. Davidson, Niels Falsig Pedersen, S. Pagano

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Abstract

We use the method of cell-to-cell mapping to locate attractors, basins, and saddle nodes in the phase plane of a driven Josephson junction. The cell-mapping method is discussed in some detail, emphasizing its ability to provide a global view of the phase plane. Our computations confirm the existence of a previously reported interior crisis. In addition, we observe a boundary crisis for a small shift in one parameter. The cell-mapping method allows us to show both crises explicitly in the phase plane, at low computational cost.
Original languageEnglish
JournalPhysical Review A
Volume38
Issue number10
Pages (from-to)5384-5390
ISSN2469-9926
DOIs
Publication statusPublished - 1988

Bibliographical note

Copyright (1988) by the American Physical Society.

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