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Characteristic modes and the transition to chaos of a resonant Josephson circuit

Abstract

The periodic modes of a voltage-driven resonant small-junction Josephson circuit are studied by accurate numerical methods starting from large dissipation. As dissipation decreases, sections of the average current vs. voltage characteristic become unstable and new branches develop on those sections, corresponding to new modes which are exact subharmonics of the old mode. For low enough dissipation chaotic ranges of voltage occur, i.e., ranges with no stable periodic modes. This circuit is a component of many experimental circuits, e.g., finite junctions, DC and RF squids, etc., and so the behavior found here should occur widely.
Authors:
Marcus, P M; Imry, Y [1] 
  1. IBM Watson Research Center, Yorktown Heights, NY (USA)
Publication Date:
Jan 01, 1982
Product Type:
Journal Article
Reference Number:
AIX-13-670644; EDB-82-100418
Resource Relation:
Journal Name: Solid State Commun.; (United Kingdom); Journal Volume: 41:2
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ELECTRONIC CIRCUITS; JOSEPHSON JUNCTIONS; OSCILLATION MODES; DISSIPATION FACTOR; ELECTRIC CURRENTS; ELECTRIC POTENTIAL; ELECTRIC RESONANCE; HARMONICS; NUMERICAL SOLUTION; CURRENTS; JUNCTIONS; OSCILLATIONS; RESONANCE; SUPERCONDUCTING JUNCTIONS; 656102* - Solid State Physics- Superconductivity- Acoustic, Electronic, Magnetic, Optical, & Thermal Phenomena- (-1987)
OSTI ID:
5492413
Country of Origin:
United Kingdom
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: SSCOA
Submitting Site:
HEDB
Size:
Pages: 161-166
Announcement Date:
May 01, 1982

Citation Formats

Marcus, P M, and Imry, Y. Characteristic modes and the transition to chaos of a resonant Josephson circuit. United Kingdom: N. p., 1982. Web. doi:10.1016/0038-1098(82)91058-4.
Marcus, P M, & Imry, Y. Characteristic modes and the transition to chaos of a resonant Josephson circuit. United Kingdom. doi:10.1016/0038-1098(82)91058-4.
Marcus, P M, and Imry, Y. 1982. "Characteristic modes and the transition to chaos of a resonant Josephson circuit." United Kingdom. doi:10.1016/0038-1098(82)91058-4. https://www.osti.gov/servlets/purl/10.1016/0038-1098(82)91058-4.
@misc{etde_5492413,
title = {Characteristic modes and the transition to chaos of a resonant Josephson circuit}
author = {Marcus, P M, and Imry, Y}
abstractNote = {The periodic modes of a voltage-driven resonant small-junction Josephson circuit are studied by accurate numerical methods starting from large dissipation. As dissipation decreases, sections of the average current vs. voltage characteristic become unstable and new branches develop on those sections, corresponding to new modes which are exact subharmonics of the old mode. For low enough dissipation chaotic ranges of voltage occur, i.e., ranges with no stable periodic modes. This circuit is a component of many experimental circuits, e.g., finite junctions, DC and RF squids, etc., and so the behavior found here should occur widely.}
doi = {10.1016/0038-1098(82)91058-4}
journal = {Solid State Commun.; (United Kingdom)}
volume = {41:2}
journal type = {AC}
place = {United Kingdom}
year = {1982}
month = {Jan}
}