OSCILLATOR-PHASE COUPLING FOR DIFFERENT 2-DIMENSIONAL NETWORK CONNECTIVITIES

被引:41
作者
NIEBUR, E [1 ]
SCHUSTER, HG [1 ]
KAMMEN, DM [1 ]
KOCH, C [1 ]
机构
[1] CALTECH, COMPUTAT & NEURAL SYST PROGRAM, PASADENA, CA 91125 USA
来源
PHYSICAL REVIEW A | 1991年 / 44卷 / 10期
关键词
D O I
10.1103/PhysRevA.44.6895
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We investigate the dynamics of large arrays of coupled phase oscillators driven by random intrinsic frequencies under a variety of coupling schemes, by computing the time-dependent cross-correlation function numerically for a two-dimensional array consisting of 128 x 128 oscillators as well as analytically for a simpler model. Our analysis shows that for overall equal interaction strength, a sparse-coupling scheme in which each oscillator is coupled to a small, randomly selected subset of its neighbors leads to a more rapid and robust phase locking than nearest-neighbor coupling or locally dense connection schemes.
引用
收藏
页码:6895 / 6904
页数:10
相关论文
共 36 条
  • [11] COUPLED OSCILLATORS AND THE DESIGN OF CENTRAL PATTERN GENERATORS
    KOPELL, N
    ERMENTROUT, GB
    [J]. MATHEMATICAL BIOSCIENCES, 1988, 90 (1-2) : 87 - 109
  • [12] Kopell N., 1988, NEURAL CONTROL RHYTH
  • [13] CRITICAL PROPERTIES OF 2-DIMENSIONAL XY-MODEL
    KOSTERLITZ, JM
    [J]. JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1974, 7 (06): : 1046 - 1060
  • [14] ORDERING, METASTABILITY AND PHASE-TRANSITIONS IN 2 DIMENSIONAL SYSTEMS
    Kosterlitz, JM
    Thouless, DJ
    [J]. JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1973, 6 (07): : 1181 - 1203
  • [15] Kuramoto Y., 1984, CHEM OSCILLATIONS WA
  • [16] NUMERICAL-SIMULATION OF DYNAMICS IN THE XY MODEL
    LOFT, R
    DEGRAND, TA
    [J]. PHYSICAL REVIEW B, 1987, 35 (16): : 8528 - 8541
  • [17] AUDITORY EVOKED-POTENTIALS INDICATE THE LOSS OF NEURONAL OSCILLATIONS DURING GENERAL-ANESTHESIA
    MADLER, C
    POPPEL, E
    [J]. NATURWISSENSCHAFTEN, 1987, 74 (01) : 42 - 43
  • [18] PHASE-DIAGRAM FOR THE COLLECTIVE BEHAVIOR OF LIMIT-CYCLE OSCILLATORS
    MATTHEWS, PC
    STROGATZ, SH
    [J]. PHYSICAL REVIEW LETTERS, 1990, 65 (14) : 1701 - 1704
  • [19] NIEBUR E, IN PRESS PHYS REV LE
  • [20] NIEBUR E, 1990, NONLINEAR DYNAMICS N, P173