COMPLEX DYNAMICS OF SPIRAL WAVES AND MOTION OF CURVES

被引：161

作者：

MIKHAILOV, AS

DAVYDOV, VA

ZYKOV, VS

机构：

[1] NN SEMENOV CHEM PHYS INST,MOSCOW 117334,RUSSIA

[2] MIREA,DEPT PHYS,MOSCOW 117454,RUSSIA

[3] MAX PLANCK SOC,INST MOLEC PHYSIOL,W-4600 DORTMUND 1,GERMANY

[4] RUSSIAN ACAD SCI,INST CONTROL SCI,MOSCOW 117342,RUSSIA

来源：

PHYSICA D | 1994年 / 70卷 / 1-2期

关键词：

D O I：

10.1016/0167-2789(94)90054-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this review paper we consider spiral waves in weakly excitable media where they can be described using a simple kinematical model. The model is formulated in terms of the motion of curves with free ends. These curves can grow or contract while moving over a plane. A steadily rotating spiral is a dynamical attractor of such a system. Application of spatial gradients or temporal modulation of the medium's properties induce drift of spirals. When interactions between the curves are taken into account, this results in appearance of complex meandering regimes.

引用

页码：1 / 39

页数：39

共 77 条

[1]

Abramychev A. Yu., 1990, Soviet Physics - JETP, V70, P666

[2]

ABRAMYCHEV AY, 1990, BIOFIZIKA, V34, P979

[3]

AGLADZE KI, 1987, JETP LETT+, V45, P767

[4]

[Anonymous], 1991, MATH BIOL