A dynamical systems approach to spiral wave dynamics

被引：39

作者：

Barkley, Dwight ^{[1
,2
,3
]}

Kevrekidis, Ioannis G. ^{[4
]}

机构：

[1] Univ Texas Austin, Dept Math, Austin, TX 78712 USA

[2] Univ Texas Austin, Ctr Nonlinear Dynam, Austin, TX 78712 USA

[3] Ecole Normale Super Lyon, Phys Lab, F-69364 Lyon, France

[4] Princeton Univ, Dept Chem Engn, Princeton, NJ 08544 USA

来源：

CHAOS | 1994年 / 4卷 / 03期

关键词：

D O I：

10.1063/1.166023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A simple system of five nonlinear ordinary differential equations is shown to reproduce many dynamical features of spiral waves in two-dimensional excitable media.

引用

页码：453 / 460

页数：8

共 32 条

[1]

[Anonymous], 1988, SINGULARITIES GROUPS

[2] LINEAR-STABILITY ANALYSIS OF ROTATING SPIRAL WAVES IN EXCITABLE MEDIA [J].

BARKLEY, D .

PHYSICAL REVIEW LETTERS, 1992, 68 (13) :2090-2093

[3] EUCLIDEAN SYMMETRY AND THE DYNAMICS OF ROTATING SPIRAL WAVES [J].

BARKLEY, D .

PHYSICAL REVIEW LETTERS, 1994, 72 (01) :164-167

[4] A MODEL FOR FAST COMPUTER-SIMULATION OF WAVES IN EXCITABLE MEDIA [J].

BARKLEY, D .

PHYSICA D, 1991, 49 (1-2) :61-70

[5] SPIRAL-WAVE DYNAMICS IN A SIMPLE-MODEL OF EXCITABLE MEDIA - THE TRANSITION FROM SIMPLE TO COMPOUND ROTATION [J].

BARKLEY, D ;

KNESS, M ;

TUCKERMAN, LS .

PHYSICAL REVIEW A, 1990, 42 (04) :2489-2492

[6] SPIRAL WAVE SOLUTIONS FOR REACTION DIFFUSION-EQUATIONS IN A FAST REACTION SLOW DIFFUSION LIMIT [J].

BERNOFF, AJ .

PHYSICA D, 1991, 53 (01) :125-150

[7]

GUCKENHEIMER J, 1986, PHYSICA D, V20, P1

[8]

Guckenheimer J., 2013, APPL MATH SCI, DOI 10.1007/978-1-4612- 1140-2

[9] CHEMICAL VORTEX DYNAMICS IN THE BELOUSOV-ZHABOTINSKY REACTION AND IN THE 2-VARIABLE OREGONATOR MODEL [J].

JAHNKE, W ;

SKAGGS, WE ;

WINFREE, AT .

JOURNAL OF PHYSICAL CHEMISTRY, 1989, 93 (02) :740-749

[10]

JAHNKE W, 1991, INT J BIFURCAT CHAOS, V1, P455

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