arXiv 1209.26682012-09-12nlin.CGnlin.PS

具有动态激励区间的可激励元胞自动机生成的构型多样性

On diversity of configurations generated by excitable cellular automata with dynamical excitation intervals

Andrew Adamatzky

DOI：: 10.1142/S0129183112500854

摘要：

具有动态激励间隔的可激励元胞自动机基于传播激励模式之间的相互作用而表现出广泛的时空动力学，所述传播激励模式修改自动机细胞的可激励性。这种相互作用导致形成的常设域的激发，驻波和局部激发。我们分析了形态学和生成的diligence的功能研究和特点的最高值的diligence的功能。在其他有趣的发现中，我们发现，激励区间的上边界更显着地影响形态多样性的配置比区间的下边界没有产生的功能之间的匹配，产生配置的激励最高形态多样性和配置的区间边界最高形态多样性。具有动态变化的可激发介质的未来研究的潜在方向可能集中在自动机模型与活的可激发介质的关系，例如神经组织和肌肉，具有忆阻特性的新型材料，以及导电聚合物网络。

英文摘要：

Excitable cellular automata with dynamical excitation interval exhibit a wide range of space-time dynamics based on an interplay between propagating excitation patterns which modify excitability of the automaton cells. Such interactions leads to formation of standing domains of excitation, stationary waves and localised excitations. We analysed morphological and generative diversities of the functions studied and characterised the functions with highest values of the diversities. Amongst other intriguing discoveries we found that upper boundary of excitation interval more significantly affects morphological diversity of configurations generated than lower boundary of the interval does and there is no match between functions which produce configurations of excitation with highest morphological diversity and configurations of interval boundaries with highest morphological diversity. Potential directions of future studies of excitable media with dynamically changing excitability may focus on relations of the automaton model with living excitable media, e.g. neural tissue and muscles, novel materials with memristive properties, and networks of conductive polymers.

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