IEICE TRANSACTIONS on Fundamentals
Bifurcation of an Inductively Coupled Josephson Junction Circuit
Summary :
Some qualitative properties of an inductively coupled circuit containing two Josephson junction elements with a dc source are investigated. The system is described by a four–dimensional autonomous differential equation. However, the phase space can be regarded as S1×R3 because the system has a periodicity for the invariant transformation. In this paper, we study the properties of periodic solutions winding around S1 as a bifurcation problem. Firstly, we analyze equilibria in this system. The bifurcation diagram of equilibria and its topological classification are given. Secondly, the bifurcation diagram of the periodic solutions winding around S1 are calculated by using a suitable Poincar
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E77-A No.11 pp.1758-1763
- Publication Date
- 1994/11/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section PAPER (Special Section on Nonlinear Theory and Its Applications)
- Category
- Analysis of Nonlinear Circuits and Systems
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Tetsushi UETA, Hiroshi KAWAKAMI, "Bifurcation of an Inductively Coupled Josephson Junction Circuit" in IEICE TRANSACTIONS on Fundamentals,
vol. E77-A, no. 11, pp. 1758-1763, November 1994, doi: .
Abstract: Some qualitative properties of an inductively coupled circuit containing two Josephson junction elements with a dc source are investigated. The system is described by a four–dimensional autonomous differential equation. However, the phase space can be regarded as S1×R3 because the system has a periodicity for the invariant transformation. In this paper, we study the properties of periodic solutions winding around S1 as a bifurcation problem. Firstly, we analyze equilibria in this system. The bifurcation diagram of equilibria and its topological classification are given. Secondly, the bifurcation diagram of the periodic solutions winding around S1 are calculated by using a suitable Poincar
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e77-a_11_1758/_p
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@ARTICLE{e77-a_11_1758,
author={Tetsushi UETA, Hiroshi KAWAKAMI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Bifurcation of an Inductively Coupled Josephson Junction Circuit},
year={1994},
volume={E77-A},
number={11},
pages={1758-1763},
abstract={Some qualitative properties of an inductively coupled circuit containing two Josephson junction elements with a dc source are investigated. The system is described by a four–dimensional autonomous differential equation. However, the phase space can be regarded as S1×R3 because the system has a periodicity for the invariant transformation. In this paper, we study the properties of periodic solutions winding around S1 as a bifurcation problem. Firstly, we analyze equilibria in this system. The bifurcation diagram of equilibria and its topological classification are given. Secondly, the bifurcation diagram of the periodic solutions winding around S1 are calculated by using a suitable Poincar
keywords={},
doi={},
ISSN={},
month={November},}
Copy
TY - JOUR
TI - Bifurcation of an Inductively Coupled Josephson Junction Circuit
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1758
EP - 1763
AU - Tetsushi UETA
AU - Hiroshi KAWAKAMI
PY - 1994
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E77-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 1994
AB - Some qualitative properties of an inductively coupled circuit containing two Josephson junction elements with a dc source are investigated. The system is described by a four–dimensional autonomous differential equation. However, the phase space can be regarded as S1×R3 because the system has a periodicity for the invariant transformation. In this paper, we study the properties of periodic solutions winding around S1 as a bifurcation problem. Firstly, we analyze equilibria in this system. The bifurcation diagram of equilibria and its topological classification are given. Secondly, the bifurcation diagram of the periodic solutions winding around S1 are calculated by using a suitable Poincar
ER -
English
