IEICE TRANSACTIONS on Fundamentals
Bifurcation Phenomena in the Josephson Junction Circuit Coupled by a Resistor
Summary :
Bifurcation Phenomena observed in a circuit containing two Josephson junctions coupled by a resistor are investigated. This circuit model has a mechanical analogue: Two damped pendula linked by a clutch exchanging kinetic energy of each pendulum. In this paper, firstly we study equilibria of the system. Bifurcations and topological properties of the equilibria are clarified. Secondly we analyze periodic solutions in the system by using suitable Poincare mapping and obtain a bifurcation diagram. There are two types of limit cycles distinguished by whether the motion is in S1
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E79-A No.10 pp.1546-1550
- Publication Date
- 1996/10/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section PAPER (Special Section on Nonlinear Theory and its Applications (NOLTA))
- Category
- Nonlinear Circuits and Bifurcation
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Tetsushi UETA, Hiroshi KAWAKAMI, "Bifurcation Phenomena in the Josephson Junction Circuit Coupled by a Resistor" in IEICE TRANSACTIONS on Fundamentals,
vol. E79-A, no. 10, pp. 1546-1550, October 1996, doi: .
Abstract: Bifurcation Phenomena observed in a circuit containing two Josephson junctions coupled by a resistor are investigated. This circuit model has a mechanical analogue: Two damped pendula linked by a clutch exchanging kinetic energy of each pendulum. In this paper, firstly we study equilibria of the system. Bifurcations and topological properties of the equilibria are clarified. Secondly we analyze periodic solutions in the system by using suitable Poincare mapping and obtain a bifurcation diagram. There are two types of limit cycles distinguished by whether the motion is in S1
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e79-a_10_1546/_p
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@ARTICLE{e79-a_10_1546,
author={Tetsushi UETA, Hiroshi KAWAKAMI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Bifurcation Phenomena in the Josephson Junction Circuit Coupled by a Resistor},
year={1996},
volume={E79-A},
number={10},
pages={1546-1550},
abstract={Bifurcation Phenomena observed in a circuit containing two Josephson junctions coupled by a resistor are investigated. This circuit model has a mechanical analogue: Two damped pendula linked by a clutch exchanging kinetic energy of each pendulum. In this paper, firstly we study equilibria of the system. Bifurcations and topological properties of the equilibria are clarified. Secondly we analyze periodic solutions in the system by using suitable Poincare mapping and obtain a bifurcation diagram. There are two types of limit cycles distinguished by whether the motion is in S1
keywords={},
doi={},
ISSN={},
month={October},}
Copy
TY - JOUR
TI - Bifurcation Phenomena in the Josephson Junction Circuit Coupled by a Resistor
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1546
EP - 1550
AU - Tetsushi UETA
AU - Hiroshi KAWAKAMI
PY - 1996
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E79-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 1996
AB - Bifurcation Phenomena observed in a circuit containing two Josephson junctions coupled by a resistor are investigated. This circuit model has a mechanical analogue: Two damped pendula linked by a clutch exchanging kinetic energy of each pendulum. In this paper, firstly we study equilibria of the system. Bifurcations and topological properties of the equilibria are clarified. Secondly we analyze periodic solutions in the system by using suitable Poincare mapping and obtain a bifurcation diagram. There are two types of limit cycles distinguished by whether the motion is in S1
ER -
English
