Shunted-Josephson-junction model. II. The nonautonomous case

V. N. Belykh, N. F. Pedersen, and O. H. Soerensen
Phys. Rev. B 16, 4860 – Published 1 December 1977
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Abstract

The shunted-Josephson-junction model with a monochromatic ac current drive is discussed employing the qualitative methods of the theory of nonlinear oscillations. As in the preceding paper dealing with the autonomous junction, the model includes a phase-dependent conductance and a shunt capacitance. The mathematical discussion makes use of the phase-space representation of the solutions to the differential equation. The behavior of the trajectories in phase space is described for different characteristic regions in parameter space and the associated features of the junction IV curve to be expected are pointed out. The main objective is to provide a qualitative understanding of the junction behavior, to clarify which kinds of properties may be derived from the shunted-junction model, and to specify the relative arrangement of the important domains in the parameter-space decomposition.

  • Received 26 October 1976

DOI:https://doi.org/10.1103/PhysRevB.16.4860

©1977 American Physical Society

Authors & Affiliations

V. N. Belykh*

  • Electronics Laboratory, The Technical University of Denmark, DK-2800 Lyngby, Denmark

N. F. Pedersen and O. H. Soerensen

  • Physics Laboratory I, The Technical University of Denmark, DK-2800 Lyngby, Denmark

  • *Permanent address: Scientific-Research Institute of Applied Mathematics and Cybernetics, Gor'kii University, Gor'kii, USSR.

See Also

Shunted-Josephson-junction model. I. The autonomous case

V. N. Belykh, N. F. Pedersen, and O. H. Soerensen
Phys. Rev. B 16, 4853 (1977)

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Vol. 16, Iss. 11 — 1 December 1977

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