Zykov Vladimir, Krekhov Alexei, Bodenschatz Eberhard
Max Planck Institute for Dynamics and Self-Organization, 37077 Göttingen, Germany.
Chaos. 2017 Sep;27(9):093923. doi: 10.1063/1.4999473.
Many theoretical and experimental studies indicate that a propagation block represents an important factor in spiral wave initiation in excitable media. The analytical and numerical results we obtained for a generic two-component reaction-diffusion system demonstrate quantitative conditions for the propagation block in a one-dimensional and a two-dimensional medium due to a sharp spatial increase of the medium's excitability or the coupling strength above a certain critical value. Here, we prove that this critical value strongly depends on the medium parameters and the geometry of the inhomogeneity. For an exemplary two-dimensional medium, we show how the propagation block can be used to initiate spiral waves by a specific choice of the size and shape of the medium's inhomogeneity.
许多理论和实验研究表明，传播阻断是可兴奋介质中螺旋波起始的一个重要因素。我们针对一个通用的双组分反应扩散系统所获得的分析和数值结果表明，由于介质兴奋性或耦合强度在某一临界值之上急剧的空间增加，在一维和二维介质中存在传播阻断的定量条件。在此，我们证明该临界值强烈依赖于介质参数和不均匀性的几何形状。对于一个示例性的二维介质，我们展示了如何通过特定选择介质不均匀性的大小和形状，利用传播阻断来起始螺旋波。
