3 IDENTICAL OSCILLATORS WITH SYMMETRICAL COUPLING

被引:89
作者
ASHWIN, P
KING, GP
SWIFT, JW
机构
[1] Nonlinear Syst. Lab., Warwick Univ., Coventry
关键词
D O I
10.1088/0951-7715/3/3/003
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is theoretical and experimental investigation of three identical oscillators with weak symmetric coupling. The authors find that the dynamics is governed by an ODE on the 2-torus with S3 symmetry. A new type of codimension-one global bifurcation in such systems is predicted, and found experimentally in a network of three coupled van der Pol oscillators.
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收藏
页码:585 / 601
页数:17
相关论文
共 15 条
  • [1] GLOBAL BIFURCATIONS OF PHASE-LOCKED OSCILLATORS
    ALEXANDER, JC
    AUCHMUTY, G
    [J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1986, 93 (03) : 253 - 270
  • [2] Arnold V. I., 1983, GRUNDLEHREN MATH WIS, V250
  • [3] ARONSON DG, 1989, COUPLED ARRAYS JOSEP
  • [4] SYMMETRICAL CHAOS IN SYSTEMS OF 3 AND 4 FORCED OSCILLATORS
    ASHWIN, P
    [J]. NONLINEARITY, 1990, 3 (03) : 603 - 617
  • [5] BAESENS C, 1989, 3 COUPLED OSCILLATOR
  • [6] ENDO T, 1978, IEEE T CIRCUITS SYST, V25, P7, DOI 10.1109/TCS.1978.1084380
  • [7] GOLUBITSKY M, 1988, APPLIED MATH SCI, V69
  • [8] GUCKENHEIMER J, 1983, APPLIED MATH SCI, V42
  • [9] PHASE LOCKING OF JOSEPHSON-JUNCTION SERIES ARRAYS
    HADLEY, P
    BEASLEY, MR
    WIESENFELD, K
    [J]. PHYSICAL REVIEW B, 1988, 38 (13): : 8712 - 8719
  • [10] HADLEY P, 1989, THESIS STANFORD U