Spontaneous formation of concentric waves in a two-component reaction-diffusion system.
Spontaneous formation of concentric waves in a two-component reaction-diffusion system.
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双组分反应扩散系统中同心波的自发形成。
DOI：
10.1103/physreve.54.6074
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发表时间：
1996
期刊：
影响因子：
--
通讯作者：
Ryo Kobayashi
中科院分区：
文献类型：
--
作者：
Takao Ohta;Y. Hayase;Ryo Kobayashi
我们在一维和二维上对激活剂和抑制剂的可激发反应扩散方程进行了计算机模拟，以研究各种模式形成，如传播脉冲，同心波和螺旋波。通过选择合适的非线性，一个稳定的极限环解可以与一个平衡的均匀解共存。在这种情况下，在传播脉冲是稳定的意义上，激发性仍然保持不变。我们发现传播脉冲在碰撞时并不总是湮灭，而是产生一个发射出波列的域。在二维空间中，在没有任何起搏器的情况下自发形成一个同心波（靶图）。定性地讨论了这些动力结构的机理。
We carry out computer simulations of an excitable reaction-diffusion equation for an activator and an inhibitor both in one and two dimensions to study various pattern formations such as propagating pulses, and concentric and spiral waves. By choosing a suitable nonlinearity, a stable limit cycle solution can coexist with an equilibrium uniform solution. In this situation, the excitability is still preserved in the sense that a propagating pulse is stable. We have found that propagating pulses do not always annihilate upon collision but cause a domain that emits outgoing wave trains. In two dimensions a concentric wave (target pattern) is formed spontaneously without any pacemaker. The mechanism for these dynamical structures is qualitatively discussed.