摘要翻译：
修正了Beyn&Thuemmler，2004年提出的用于分析可激发介质中刚性旋转螺旋波的冻结法。该方法可以稳定地确定旋转螺旋的旋转频率和中心半径，以及无界区域中螺旋波的近似形状。特别地，我们引入了基于阿基米德螺旋和圆的对合线对螺旋波解的几何逼近的螺旋波边界条件。我们进一步提出了一个边界条件的简单实现，当抑制剂是非扩散的情况下，一个以前引起杂散振荡的情况。然后利用该方法对大岩心极限进行了数值分析。所提出的方法允许我们研究螺旋波在开始发展成缩回指之前获得无穷大的核心半径和零旋转频率的接近临界的情况。对于接近临界的螺旋波解的旋转频率和核心半径，我们确定了漂移分叉的线性标度区。这种情况是传统的数值方法无法达到的。
---
英文标题：
《The large core limit of spiral waves in excitable media: A numerical
  approach》
---
作者：
Sebastian Hermann and Georg A. Gottwald
---
最新提交年份：
2010
---
分类信息：

一级分类：Physics        物理学
二级分类：Pattern Formation and Solitons        图形形成与孤子
分类描述：Pattern formation, coherent structures, solitons
图案形成，相干结构，孤子
--
一级分类：Physics        物理学
二级分类：Biological Physics        生物物理学
分类描述：Molecular biophysics, cellular biophysics, neurological biophysics, membrane biophysics, single-molecule biophysics, ecological biophysics, quantum phenomena in biological systems (quantum biophysics), theoretical biophysics, molecular dynamics/modeling and simulation, game theory, biomechanics, bioinformatics, microorganisms, virology, evolution, biophysical methods.
分子生物物理、细胞生物物理、神经生物物理、膜生物物理、单分子生物物理、生态生物物理、生物系统中的量子现象（量子生物物理）、理论生物物理、分子动力学/建模与模拟、博弈论、生物力学、生物信息学、微生物、病毒学、进化论、生物物理方法。
--
一级分类：Quantitative Biology        数量生物学
二级分类：Other Quantitative Biology        其他定量生物学
分类描述：Work in quantitative biology that does not fit into the other q-bio classifications
不适合其他q-bio分类的定量生物学工作
--

---
英文摘要：
  We modify the freezing method introduced by Beyn & Thuemmler, 2004, for analyzing rigidly rotating spiral waves in excitable media. The proposed method is designed to stably determine the rotation frequency and the core radius of rotating spirals, as well as the approximate shape of spiral waves in unbounded domains. In particular, we introduce spiral wave boundary conditions based on geometric approximations of spiral wave solutions by Archimedean spirals and by involutes of circles. We further propose a simple implementation of boundary conditions for the case when the inhibitor is non-diffusive, a case which had previously caused spurious oscillations.   We then utilize the method to numerically analyze the large core limit. The proposed method allows us to investigate the case close to criticality where spiral waves acquire infinite core radius and zero rotation frequency, before they begin to develop into retracting fingers. We confirm the linear scaling regime of a drift bifurcation for the rotation frequency and the core radius of spiral wave solutions close to criticality. This regime is unattainable with conventional numerical methods.
---
PDF链接：
https://arxiv.org/pdf/1003.5830