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Updated: Feb 13, 2026

Fabrication and Characterization of Superconducting Resonators
Published on: May 21, 2016
Resonances and multistability in a Josephson junction connected to a resonator
Denis S Goldobin1, Lyudmila S Klimenko1
1Institute of Continuous Media Mechanics, UB RAS, Acad. Korolev Street 1, 614013 Perm, Russia and Department of Theoretical Physics, Perm State University, Bukirev Street 15, 614990 Perm, Russia.
Abstract:
We study the dynamics of a Josephson junction connected to a dc current supply via a distributed parameter capacitor, which serves as a resonator. We reveal multistability in the current-voltage characteristic of the system; this multistability is related to resonances between the generated frequency and the resonator. The resonant pattern requires detailed consideration, in particular, because its basic features may resemble those of patterns reported in experiments with arrays of Josephson junctions demonstrating coherent stimulated emission. From the viewpoint of nonlinear dynamics, the resonances between a Josephson junction and a resonator are of interest because of the specificity of the former; its oscillation frequency is directly governed by control parameters of the system and can vary in a wide range. Our analytical results are in good agreement with the results of numerical simulations.
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