CHAOTIC MEANDER OF SPIRAL WAVES IN THE FITZHUGH-NAGUMO SYSTEM

被引：41
|
作者：
ZHANG, H [1 ]
HOLDEN, AV [1 ]
机构：
[1] UNIV LEEDS,DEPT PHYSIOL,LEEDS LS2 9JT,W YORKSHIRE,ENGLAND
来源：
CHAOS SOLITONS & FRACTALS | 1995年 / 5卷 / 3-4期
关键词：
D O I：
10.1016/0960-0779(93)E0048-G
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the dynamics of hypermeander of a spiral wave produced by the FitzHugh-Nagumo model, and use the surrogate test method to identify the irregular time series of the core position as chaotic. The correlation dimension, and maximum Lyapunov exponent of this time series are estimated.
引用
收藏
页码：661 / 670
页数：10
相关论文
共 50 条
  • [1] Localization of response functions of spiral waves in the Fitzhugh-Nagumo system
    Biktasheva, I. V.
    Holden, A. V.
    Biktashev, V. N.
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (05): : 1547 - 1555
  • [2] Control of spiral waves in FitzHugh-Nagumo systems
    Gao Jia-Zhen
    Xie Ling-Ling
    Xie Wei-Miao
    Gao Ji-Hua
    [J]. ACTA PHYSICA SINICA, 2011, 60 (08)
  • [3] The Γ-limit of traveling waves in the FitzHugh-Nagumo system
    Chen, Chao-Nien
    Choi, Yung Sze
    Fusco, Nicola
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 267 (03) : 1805 - 1835
  • [4] Forced entrainment and elimination of spiral waves for the FitzHugh-Nagumo equation
    Sakaguchi, H
    Fujimoto, T
    [J]. PROGRESS OF THEORETICAL PHYSICS, 2002, 108 (02): : 241 - 252
  • [5] Traveling waves for the FitzHugh-Nagumo system on an infinite channel
    Chen, Chao-Nien
    Chen, Chiun-Chuan
    Huang, Chih-Chiang
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 261 (06) : 3010 - 3041
  • [6] HETEROCLINIC WAVES OF THE FITZHUGH-NAGUMO EQUATIONS
    PAUWELUSSEN, JP
    [J]. MATHEMATICAL BIOSCIENCES, 1982, 58 (02) : 217 - 242
  • [7] Logical chaotic resonance in the FitzHugh-Nagumo neuron
    Yao, Yuangen
    [J]. NONLINEAR DYNAMICS, 2022, 107 (04) : 3887 - 3901
  • [8] Synchronization of coupled chaotic FitzHugh-Nagumo systems
    Aqil, Muhammad
    Hong, Keum-Shik
    Jeong, Myung-Yung
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (04) : 1615 - 1627
  • [9] SPIRAL BREAKUP IN A MODIFIED FITZHUGH-NAGUMO MODEL
    PANFILOV, A
    HOGEWEG, P
    [J]. PHYSICS LETTERS A, 1993, 176 (05) : 295 - 299
  • [10] Standing waves in the FitzHugh-Nagumo system and a problem in combinatorial geometry
    Wei, Juncheng
    Winter, Matthias
    [J]. MATHEMATISCHE ZEITSCHRIFT, 2006, 254 (02) : 359 - 383
12345