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激发介质相对不应态对螺旋波动力学行为的影响
引用本文:关富荣,李成乾,邓敏艺. 激发介质相对不应态对螺旋波动力学行为的影响[J]. 计算物理, 2021, 38(6): 749-756. DOI: 10.19596/j.cnki.1001-246x.8321
作者姓名:关富荣  李成乾  邓敏艺
作者单位:广西师范大学物理科学与技术学院, 广西 桂林 541004
基金项目:国家自然科学基金(11365003);国家自然科学基金(11565005);国家自然科学基金(12047567)
摘    要:采用元胞自动机模型研究激发介质相对不应态对螺旋波动力学行为的影响。数值模拟表明:元胞激发阈值存在一临界区间,该区间的螺旋波周期会突然增加,并存在一最大周期,在合适的系统尺寸和状态数下,螺旋波周期不再受相对不应态的影响而只取决于系统的激发阈值;相对不应态导致螺旋波“Z”型漫游、小范围无规律漫游、花瓣状漫游、锯齿状漫游、风车状漫游等复杂的波头运动。观察到稳定螺旋波、漫游螺旋波和螺旋波消失,并对产生这些现象的机制作简要的解释。

关 键 词:激发介质  相对不应态  螺旋波  元胞自动机  数值模拟  
收稿时间:2020-12-17

Spiral Wave Dynamics of Excited Medium: Effect of Relative Refractory
GUAN Furong,LI Chengqian,DENG Minyi. Spiral Wave Dynamics of Excited Medium: Effect of Relative Refractory[J]. Chinese Journal of Computational Physics, 2021, 38(6): 749-756. DOI: 10.19596/j.cnki.1001-246x.8321
Authors:GUAN Furong  LI Chengqian  DENG Minyi
Affiliation:College of Physical Science and Technology, Guangxi Normal University, Guilin, Guangxi 541004, China
Abstract:Effect of relative refractory of excited medium on dynamical behavior of spiral waves is investigated in a cellular automata model. It is found that there is a critical interval in the excitation threshold. Spiral wave period in the critical interval increases suddenly and there is a maximum period. Under appropriate system size and number of states, the spiral wave period is not affected by refractoriness. It depends on the excitation threshold of the system only. Relative refractory state leads to Z-type meandering, small-scale irregular meandering, petal meandering, jagged meandering, windmill meandering and other complex spiral wave tip motions. Stable spiral wave, meandering spiral wave, and disappearing spiral wave are observed. Mechanisms of these phenomena are briefly analyzed.
Keywords:excitable medium  relative refractory state  spiral wave  cellular automata  numerical simulation  
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