FROM LABYRINTHINE PATTERNS TO SPIRAL TURBULENCE

被引:114
作者
HAGBERG, A
MERON, E
机构
[1] Department of Mathematics, University of Arizona, Tucson
关键词
D O I
10.1103/PhysRevLett.72.2494
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A new mechanism for spiral vortex nucleation in nongradient reaction diffusion systems is proposed. It involves two key ingredients: An Ising-Bloch type front bifurcation and an instability of a planar front to transverse perturbations. Vortex nucleation by this mechanism plays an important role in inducing a transition from labyrinthine patterns to spiral turbulence.
引用
收藏
页码:2494 / 2497
页数:4
相关论文
共 23 条
  • [1] BAR M, 1993, PHYS REV E, V48, pR1635
  • [2] DEFECT-MEDIATED TURBULENCE
    COULLET, P
    GIL, L
    LEGA, J
    [J]. PHYSICAL REVIEW LETTERS, 1989, 62 (14) : 1619 - 1622
  • [3] BREAKING CHIRALITY IN NONEQUILIBRIUM SYSTEMS
    COULLET, P
    LEGA, J
    HOUCHMANDZADEH, B
    LAJZEROWICZ, J
    [J]. PHYSICAL REVIEW LETTERS, 1990, 65 (11) : 1352 - 1355
  • [4] RE-ENTRANT ROTATING WAVES IN A BEELER-REUTER BASED MODEL OF TWO-DIMENSIONAL CARDIAC ELECTRICAL ACTIVITY
    Courtemanche, Marc
    Winfree, Arthur T.
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1991, 1 (02): : 431 - 444
  • [5] A CELLULAR AUTOMATON MODEL OF EXCITABLE MEDIA INCLUDING CURVATURE AND DISPERSION
    GERHARDT, M
    SCHUSTER, H
    TYSON, JJ
    [J]. SCIENCE, 1990, 247 (4950) : 1563 - 1566
  • [6] DOMAIN-WALLS IN NONEQUILIBRIUM SYSTEMS AND THE EMERGENCE OF PERSISTENT PATTERNS
    HAGBERG, A
    MERON, E
    [J]. PHYSICAL REVIEW E, 1993, 48 (02): : 705 - 708
  • [7] HAGBERG A, IN PRESS PATTERN FOR
  • [8] THE EFFECT OF SURFACE CONSTRAINTS ON THE ORDERING OF BLOCK COPOLYMER DOMAINS
    HENKEE, CS
    THOMAS, EL
    FETTERS, LJ
    [J]. JOURNAL OF MATERIALS SCIENCE, 1988, 23 (05) : 1685 - 1694
  • [9] Holden A. V., 1991, INT J BIFURCAT CHAOS, V1, P219
  • [10] GLOBAL BIFURCATION PHENOMENA OF TRAVELING WAVE SOLUTIONS FOR SOME BISTABLE REACTION DIFFUSION-SYSTEMS
    IKEDA, H
    MIMURA, M
    NISHIURA, Y
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1989, 13 (05) : 507 - 526