论文标题
形态发生模型
Non-Archimedean Models of Morphogenesis
论文作者
论文摘要
我们研究了P-ADIC反应扩散系统和相关的Turing模式。我们建立一个不稳定性标准,并表明图灵模式不是由交替域组成的经典模式。图灵模式由多个域(群集)组成,而不是这样,每个域都支持不同的模式,但具有相同的参数值。这种类型的模式通常由大型网络上的反应扩散方程产生。
We study a p-adic reaction-diffusion system and the associated Turing patterns. We establish an instability criteria and show that the Turing patterns are not classical patterns consisting of alternating domains. Instead of this, a Turing pattern consists of several domains (clusters), each of them supporting a different pattern but with the same parameter values. This type of patterns are typically produced by reaction-diffusion equations on large networks.