Prediction of chaos in a Josephson junction by the Melnikov-function technique

M. Bartuccelli, Peter Leth Christiansen, Niels Falsig Pedersen, Mads Peter Sørensen

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Abstract

The Melnikov function for prediction of Smale horseshoe chaos is applied to the rf-driven Josephson junction. Linear and quadratic damping resistors are considered. In the latter case the analytic solution including damping and dc bias is used to obtain an improved threshold curve for the onset of chaos. The prediction is compared to new computational solutions. The Melnikov technique provides a good, but slightly low, estimate of the chaos threshold.
Original languageEnglish
JournalPhysical Review B
Volume33
Issue number7
Pages (from-to)4686-4691
ISSN2469-9950
DOIs
Publication statusPublished - 1986

Bibliographical note

Copyright (1986) by the American Physical Society.

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