THE DYNAMICS OF COUPLED CURRENT-BIASED JOSEPHSON JUNCTIONS - PART II

被引:30
作者
Aronson, D. G. [1 ]
Doedel, E. J. [2 ]
Othmer, H. G. [3 ]
机构
[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA
[2] Concordia Univ, Dept Comp Sci, Montreal, PQ H3G 1M8, Canada
[3] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1991年 / 1卷 / 01期
关键词
D O I
10.1142/S0218127491000051
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A numerical analysis of the dynamics of two coupled current-biased Josephson junctions is presented. The mathematical model of two coupled nonlinear ordinary differential equations can also be interpreted in terms of coupled rotating pendula. We describe the solution manifolds of these equations, particularly the manifolds of rotations of phase gain 4 pi per period. A variety of homoclinic orbits and heteroclinic cycles is shown to exist when the coupling strength is small. We also discuss the relation between the solution structure of the damped system and the solution structure of the undamped system.
引用
收藏
页码:51 / 66
页数:16
相关论文
共 14 条
  • [1] DYNAMICS OF JOSEPHSON-JUNCTION CIRCUITS
    ABIDI, AA
    CHUA, LO
    [J]. IEE JOURNAL ON ELECTRONIC CIRCUITS AND SYSTEMS, 1979, 3 (04): : 186 - 200
  • [2] [Anonymous], SIAM J APPL MATH, V43, P225
  • [3] Aronson D. G., DYNAMICS COUPL UNPUB
  • [4] THERMAL-ACTIVATION FROM THE FLUXOID AND THE VOLTAGE STATES OF DC SQUIDS
    BENJACOB, E
    BERGMAN, DJ
    IMRY, Y
    MATKOWSKY, BJ
    SCHUSS, Z
    [J]. JOURNAL OF APPLIED PHYSICS, 1983, 54 (11) : 6533 - 6542
  • [5] Doedel E., 1986, AUTO SOFTWARE CONTIN
  • [6] THE DYNAMICS OF COUPLED CURRENT-BIASED JOSEPHSON-JUNCTIONS .1.
    DOEDEL, EJ
    ARONSON, DG
    OTHMER, HG
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (07): : 810 - 817
  • [7] Hahlbohm H. D., 1985, SQUID 85 SUPERCONDUC
  • [8] THE GEOMETRY AND COMPUTATION OF THE DYNAMICS OF COUPLED PENDULA
    Henderson, M. E.
    Levi, M.
    Odeh, F.
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1991, 1 (01): : 27 - 50
  • [9] QUALITATIVE THEORY OF NON-LINEAR BEHAVIOR OF COUPLED JOSEPHSON JUNCTIONS
    IMRY, Y
    SCHULMAN, LS
    [J]. JOURNAL OF APPLIED PHYSICS, 1978, 49 (02) : 749 - 758
  • [10] Keller H. B., 1977, APPL BIFURCATION THE, P359