Perturbed period-doubling bifurcation. II. Experiments on Josephson junctions

Gert Friis Eriksen, Jørn Bindslev Hansen

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Abstract

We present experimental results on the effect of periodic perturbations on a driven, dynamic system that is close to a period-doubling bifurcation. In the preceding article a scaling law for the change of stability of such a system was derived for the case where the perturbation frequency ωS is close to the resonances given by ωS/ωD=(1/2, 3) / 2 ,(5/2,..., where ωD is the driving frequency. The theoretical prediction for the shift of the bifurcation point, ΔμB, which we use as a measure of the stabilization, is ΔμB∼AS2, where AS is the perturbation amplitude. We have investigated ΔμB as a function of the frequency and the amplitude of the perturbation signal ΔμB(ωS,AS) for a model system, the microwave-driven Josephson tunnel junction, and find reasonable agreement between the experimental results and the theory.
Original languageEnglish
JournalPhysical Review B
Volume41
Issue number7
Pages (from-to)4189-4194
ISSN2469-9950
DOIs
Publication statusPublished - 1990

Bibliographical note

Copyright (1990) by the American Physical Society.

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