Synchronization, re-entry, and failure of spiral waves in a two-layer discrete excitable system

被引:18
作者
Kazantsev, VB [1 ]
Nekorkin, VI
Artyuhin, DV
Velarde, MG
机构
[1] Nizhnii Novgorod State Univ, Radiophys Dept, 23 Gagarin Ave, Nizhnii Novgorod 603600, Russia
[2] Univ Complutense, Inst Pluridisciplinar, E-28040 Madrid, Spain
来源
PHYSICAL REVIEW E | 2001年 / 63卷 / 01期
关键词
D O I
10.1103/PhysRevE.63.016212
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
A three-dimensional structure composed of two coupled discrete excitable lattices is considered. Each lattice (layer) is a discrete excitable subsystem and using a local model of excitation transfer and failure we have estimated the sufficient conditions for it to exhibit spiral waves. Then we show how interlayer synchronization of all motions is possible. Various effects of spiral wave synchronization, re-entry and failure are also investigated.
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页数:9
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共 29 条
  • [1] ARNOLD VI, 1986, MODERN PROBLEMS MATH, V5
  • [2] COMPUTATION WITH CHAOS - A PARADIGM FOR CORTICAL ACTIVITY
    BABLOYANTZ, A
    LOURENCO, C
    [J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1994, 91 (19) : 9027 - 9031
  • [3] A three-dimensional autowave turbulence
    Biktashev, VN
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1998, 8 (04): : 677 - 684
  • [4] Three-dimensional aspects of re-entry in experimental and numerical models of ventricular fibrillation
    Biktashev, VN
    Holden, AV
    Mironov, SF
    Pertsov, AM
    Zaitsev, AV
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (04): : 695 - 704
  • [5] DAVIDOV VA, 1987, NONLINEAR WAVES STRU
  • [6] DYNAMIC FRONT TRANSITIONS AND SPIRAL-VORTEX NUCLEATION
    ELPHICK, C
    HAGBERG, A
    MERON, E
    [J]. PHYSICAL REVIEW E, 1995, 51 (04) : 3052 - 3058
  • [7] PROPAGATING WAVES IN DISCRETE BISTABLE REACTION-DIFFUSION SYSTEMS
    ERNEUX, T
    NICOLIS, G
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 1993, 67 (1-3) : 237 - 244
  • [8] Propagation failure in excitable media
    Hagberg, A
    Meron, E
    [J]. PHYSICAL REVIEW E, 1998, 57 (01): : 299 - 303
  • [9] HORN R, 1986, MATRIX ANAL, pCH7
  • [10] Homogenization and propagation in the bistable equation
    Keener, JP
    [J]. PHYSICA D, 2000, 136 (1-2): : 1 - 17