位置扰动对激发介质中螺旋波动力学行为的影响

doi:10.16088/j.issn.1001-6600.2016.02.002

广西师范大学学报（自然科学版） ›› 2016, Vol. 34 ›› Issue (2): 8-14.doi: 10.16088/j.issn.1001-6600.2016.02.002

位置扰动对激发介质中螺旋波动力学行为的影响

戴静娱, 张学良, 邓敏艺, 谭惠丽

广西师范大学物理科学与技术学院,广西桂林541004

收稿日期:2015-12-15 发布日期:2018-09-14
通讯作者: 谭惠丽(1977—),女(壮族),广西柳江人,广西师范大学副教授。E-mail: tanhuili_99@163.com
基金资助:
国家自然科学基金资助项目(11365003,11165004)

Effect of Position Perturbation for Spiral Waves in Excitable Media

DAI Jingyu, ZHANG Xueliang, DENG Minyi, TAN Huili

College of Physical Science and Technology, Guangxi Normal University, Guilin Guangxi 541004, China

Received:2015-12-15 Published:2018-09-14

摘要/Abstract

摘要： 本文在Greenberg-Hastings 激发介质元胞自动机模型规则网格基础上施加位置扰动,以此模拟激发介质中激发元之间相互作用距离的改变。计算机数值模拟结果表明:对于在规则网格下产生的稳定螺旋波,施加位置扰动后发现,螺旋波斑图的稳定性与元胞位置扰动的幅度有关,不同幅度的元胞位置扰动导致稳定螺旋波发生两种不同的变化:漫游后形成新的稳定螺旋波;漫游后从系统中消失。通过波头运动轨迹和系统激发比率的变化来简要分析产生这些现象的原因。

关键词: 激发介质, 螺旋波, 位置扰动, 元胞自动机模型

Abstract: Based on the Greenberg-Hastings cellular automata model, the effect of the position perturbation for the spiral waves in excitable media is studied. The amplitude of the position perturbation represents the interaction distance between cells. The computer simulation results show that the position perturbations with different amplitudes are added into the system after the stable spiral wave is formed, and the stability of spiral wave meanders is related to the range of the position perturbation of the cells. Different ranges of the position perturbation will result in two different changes of the stable waves. New stable waves are formed or disappeared after meanders. The two types meandering behavior are observed, and the mechanism underlying these phenomena are analyzed.

Key words: excitable media, spiral wave, position perturbation, cellular automata model

中图分类号:

O411.3

戴静娱, 张学良, 邓敏艺, 谭惠丽. 位置扰动对激发介质中螺旋波动力学行为的影响[J]. 广西师范大学学报（自然科学版）, 2016, 34(2): 8-14.

DAI Jingyu, ZHANG Xueliang, DENG Minyi, TAN Huili. Effect of Position Perturbation for Spiral Waves in Excitable Media[J]. Journal of Guangxi Normal University(Natural Science Edition), 2016, 34(2): 8-14.

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位置扰动对激发介质中螺旋波动力学行为的影响

Effect of Position Perturbation for Spiral Waves in Excitable Media

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