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Josephson junctions and circle maps

Abstract

The return map of a differential equation for the current driven Josephson junction, or the damped driven pendulum, is shown numerically to be a circle map. Phase locking, noise and hysteresis, can thus be understood in a simple and coherent way. The transition to chaos is related to the development of a cubic inflection point. Recent theoretical results on universal behavior at the transition to chaos can readily be checked experimentally by studying I-V characteristics. 17 references, 1 figure.
Publication Date:
Jan 01, 1984
Product Type:
Journal Article
Reference Number:
EDB-87-077425
Resource Relation:
Journal Name: Solid State Commun.; (United Kingdom); Journal Volume: 51:4
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; JOSEPHSON JUNCTIONS; PHASE TRANSFORMATIONS; DIFFERENTIAL EQUATIONS; HYSTERESIS; MAPPING; NOISE; PHASE DIAGRAMS; DIAGRAMS; EQUATIONS; JUNCTIONS; SUPERCONDUCTING JUNCTIONS; 656100* - Condensed Matter Physics- Superconductivity
OSTI ID:
6919905
Research Organizations:
Brookhaven National Lab., Upton, NY
Country of Origin:
United Kingdom
Language:
English
Contract Number:
AC02-76CH00016
Other Identifying Numbers:
Journal ID: CODEN: SSCOA
Submitting Site:
JMT
Size:
Pages: 231-234
Announcement Date:

Citation Formats

Bak, P, Bohr, T, Jensen, M H, and Christiansen, P V. Josephson junctions and circle maps. United Kingdom: N. p., 1984. Web. doi:10.1016/0038-1098(84)91002-0.
Bak, P, Bohr, T, Jensen, M H, & Christiansen, P V. Josephson junctions and circle maps. United Kingdom. doi:10.1016/0038-1098(84)91002-0.
Bak, P, Bohr, T, Jensen, M H, and Christiansen, P V. 1984. "Josephson junctions and circle maps." United Kingdom. doi:10.1016/0038-1098(84)91002-0. https://www.osti.gov/servlets/purl/10.1016/0038-1098(84)91002-0.
@misc{etde_6919905,
title = {Josephson junctions and circle maps}
author = {Bak, P, Bohr, T, Jensen, M H, and Christiansen, P V}
abstractNote = {The return map of a differential equation for the current driven Josephson junction, or the damped driven pendulum, is shown numerically to be a circle map. Phase locking, noise and hysteresis, can thus be understood in a simple and coherent way. The transition to chaos is related to the development of a cubic inflection point. Recent theoretical results on universal behavior at the transition to chaos can readily be checked experimentally by studying I-V characteristics. 17 references, 1 figure.}
doi = {10.1016/0038-1098(84)91002-0}
journal = {Solid State Commun.; (United Kingdom)}
volume = {51:4}
journal type = {AC}
place = {United Kingdom}
year = {1984}
month = {Jan}
}