IEICE TRANSACTIONS on transactions
Piecewise Linear Analysis of Autonomous Josephson Junction Circuits
Summary :
In this paper, autonomous 3rd order Josephson junction circuits containing angular variable are analyzed. For the sake of simplicity, easiness and accuracy the piecewise linearizing approximation is emplyed here. Using this method, Poincaré map, bifurcation diagram, attractor dimension and Lyapunov spectrum have been efficiently obtained especially for the chaos in this system. We have also observed the almost one-dimensional feature of the chaos orbit and the fine structure of the chaos oscillation. This chaos has a low attractor dimension nearly equal to that for the quasi-periodic oscillation in non-autonomous 2nd order JJ circuits.
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- IEICE TRANSACTIONS on transactions Vol.E73-E No.12 pp.2022-2027
- Publication Date
- 1990/12/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Nonlinear Problems
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Keiji AKIYAMA, Kiyomichi ARAKI, Mititada MORISUE, "Piecewise Linear Analysis of Autonomous Josephson Junction Circuits" in IEICE TRANSACTIONS on transactions,
vol. E73-E, no. 12, pp. 2022-2027, December 1990, doi: .
Abstract: In this paper, autonomous 3rd order Josephson junction circuits containing angular variable are analyzed. For the sake of simplicity, easiness and accuracy the piecewise linearizing approximation is emplyed here. Using this method, Poincaré map, bifurcation diagram, attractor dimension and Lyapunov spectrum have been efficiently obtained especially for the chaos in this system. We have also observed the almost one-dimensional feature of the chaos orbit and the fine structure of the chaos oscillation. This chaos has a low attractor dimension nearly equal to that for the quasi-periodic oscillation in non-autonomous 2nd order JJ circuits.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e73-e_12_2022/_p
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@ARTICLE{e73-e_12_2022,
author={Keiji AKIYAMA, Kiyomichi ARAKI, Mititada MORISUE, },
journal={IEICE TRANSACTIONS on transactions},
title={Piecewise Linear Analysis of Autonomous Josephson Junction Circuits},
year={1990},
volume={E73-E},
number={12},
pages={2022-2027},
abstract={In this paper, autonomous 3rd order Josephson junction circuits containing angular variable are analyzed. For the sake of simplicity, easiness and accuracy the piecewise linearizing approximation is emplyed here. Using this method, Poincaré map, bifurcation diagram, attractor dimension and Lyapunov spectrum have been efficiently obtained especially for the chaos in this system. We have also observed the almost one-dimensional feature of the chaos orbit and the fine structure of the chaos oscillation. This chaos has a low attractor dimension nearly equal to that for the quasi-periodic oscillation in non-autonomous 2nd order JJ circuits.},
keywords={},
doi={},
ISSN={},
month={December},}
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TY - JOUR
TI - Piecewise Linear Analysis of Autonomous Josephson Junction Circuits
T2 - IEICE TRANSACTIONS on transactions
SP - 2022
EP - 2027
AU - Keiji AKIYAMA
AU - Kiyomichi ARAKI
AU - Mititada MORISUE
PY - 1990
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E73-E
IS - 12
JA - IEICE TRANSACTIONS on transactions
Y1 - December 1990
AB - In this paper, autonomous 3rd order Josephson junction circuits containing angular variable are analyzed. For the sake of simplicity, easiness and accuracy the piecewise linearizing approximation is emplyed here. Using this method, Poincaré map, bifurcation diagram, attractor dimension and Lyapunov spectrum have been efficiently obtained especially for the chaos in this system. We have also observed the almost one-dimensional feature of the chaos orbit and the fine structure of the chaos oscillation. This chaos has a low attractor dimension nearly equal to that for the quasi-periodic oscillation in non-autonomous 2nd order JJ circuits.
ER -
English
