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封闭可兴奋介质中波列的密度波传播。

Density wave propagation of a wave train in a closed excitable medium.

作者信息

Suematsu Nobuhiko J, Sato Taisuke, Motoike Ikuko N, Kashima Kenji, Nakata Satoshi

机构信息

Graduate School of Advanced Mathematical Sciences, Meiji University, 1-1-1 Higashimita, Tamaku, Kawasaki 214-8571, Japan.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Oct;84(4 Pt 2):046203. doi: 10.1103/PhysRevE.84.046203. Epub 2011 Oct 5.

Abstract

A wave train in an excitable reaction-diffusion medium shows a variety of spatiotemporal patterns as a result of interactions between the individual waves. In this paper, we report a novel spatiotemporal pattern in a wave train in a closed excitable medium. We carried out experiments using a photosensitive Belousov-Zhabotinsky reaction with Ru(bpy)(3)(2+) as a catalyst and a numerical calculation using the FitzHugh-Nagumo equation. A wave train was locally distributed as an initial condition and the number of waves was systematically varied. In both the experiment and numerical calculation, density wave propagation was formed in a wave train during relaxation with a large number of waves. Our results suggest that density wave propagation originates from inhibitory interaction between the waves.

摘要

在可激发的反应扩散介质中,一列波由于各个波之间的相互作用而呈现出多种时空模式。在本文中,我们报告了在封闭可激发介质中的一列波中出现的一种新型时空模式。我们使用以Ru(bpy)(3)(2+)作为催化剂的光敏Belousov-Zhabotinsky反应进行了实验,并使用FitzHugh-Nagumo方程进行了数值计算。一列波作为初始条件局部分布,并且波的数量系统地变化。在实验和数值计算中,在具有大量波的弛豫过程中,一列波中形成了密度波传播。我们的结果表明,密度波传播源自波之间的抑制性相互作用。

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