论文标题

从生物启发的图形练习自动机出来的有机结构

Organic Structures Emerging From Bio-Inspired Graph-Rewriting Automata

论文作者

Cousin, Paul, Maignan, Aude

论文摘要

使用局部图形练习规则,图形锻炼自动机(GRA)是蜂窝自动机的扩展到动态结构。这项工作介绍了基于线性代数的工具,可以在深度延长的时间尺度上对其行为进行实际研究。以不同的方式探索了GRA的自然子集,从而证明了这种方法的好处。发现该子集的某些元素是为了产生混乱的生长模式,而其他元素则产生了有机的图形结构。这些现象表明GRA在建模天然复杂系统中具有很强的相关性。此处介绍的方法可以轻松地适应所选子集之外的广泛的GRA。

Graph-Rewriting Automata (GRA) are an extension of Cellular Automata to a dynamic structure using local graph-rewriting rules. This work introduces linear algebra based tools that allow for a practical investigation of their behavior in deeply extended time scales. A natural subset of GRA is explored in different ways thereby demonstrating the benefits of this method. Some elements of the subset were discovered to create chaotic patterns of growth and others to generate organic-looking graph structures. These phenomena suggest a strong relevance of GRA in the modeling natural complex systems. The approach presented here can be easily adapted to a wide range of GRA beyond the chosen subset.

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