ID 112949
Author
Miino, Yuu Tokushima University
Content Type
Journal Article
Description
We conduct a bifurcation analysis of a single-junction superconducting quantum interferometer with an external flux. We approximate the current-voltage characteristics of the conductance in the equivalent circuit of the JJ by using two types of functions: a linear function and a piecewise linear (PWL) function. We describe a method to compute the local stability of the solution orbit and to solve the bifurcation problem. As a result, we reveal the bifurcation structure of the systems in a two-dimensional parameter plane. By making a comparison between the linear and PWL cases, we find a difference in the shapes of their bifurcation sets in the two-dimensional parameter plane even though there are no differences in the one-dimensional bifurcation diagrams or the trajectories. As for the influence of piecewise linearization, we discovered that grazing bifurcations terminate the calculation of the local bifurcations, because they drastically change the stability of the periodic orbit.
Journal Title
Complexity
ISSN
10762787
10990526
NCID
AA11038146
Publisher
Hindawi
Volume
2018
Start Page
8931525
Published Date
2018-12-02
Rights
Copyright © 2018 YuuMiino and TetsushiUeta. This is an open access article distributed under the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/) ,which permits unrestricteduse, distribution, and reproduction in anymedium, provided the originalwork is properly cited.
EDB ID
DOI (Published Version)
URL ( Publisher's Version )
FullText File
language
eng
TextVersion
Publisher
departments
Center for Administration of Information Technology