ID 112949
著者
Miino, Yuu Tokushima University
資料タイプ
学術雑誌論文
抄録
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.
掲載誌名
Complexity
ISSN
10762787
10990526
cat書誌ID
AA11038146
出版者
Hindawi
2018
開始ページ
8931525
発行日
2018-12-02
権利情報
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.
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言語
eng
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