On Spiral Glider-Guns in Hexagonal Cellular Automata: Activator-Inhibitor Paradigm

On Spiral Glider-Guns in Hexagonal Cellular Automata: Activator-Inhibitor Paradigm
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六角元胞自动机中的螺旋滑翔机枪:激活剂-抑制剂范式

DOI:
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发表时间:
2006
期刊:
International Conference on Cellular Automata for Research and Industry
影响因子:
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通讯作者:
A. Wuensche
A. Wuensche
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文献类型:
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作者:
A. Wuensche

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本文提出了一个反应扩散可激发系统的细胞自动机模型,并研究了移动的局域化(滑翔机)及其生成器的动力学。我们分析了二维六边形格子上的三态整体细胞自动机,其中每个单元格与其他6个单元格连接,我们证明了一组特定的规则支持螺旋滑翔枪(旋转的激活抑制螺旋发射移动的局部化)和静止的局部化,破坏或修改滑翔机,沿着丰富多样的具有计算特性的涌现结构。我们描述了结构是如何通过滑翔机碰撞产生和湮灭的,并开始探索产生这种复杂动力学的必要过程。
We present a cellular-automaton model of a reaction-diffusion excitable system with concentration dependent inhibition of the activator, and study the dynamics of mobile localizations (gliders) and their generators We analyze a three-state totalistic cellular automaton on a two-dimensional lattice with hexagonal tiling, where each cell connects with 6 others We show that a set of specific rules support spiral glider-guns (rotating activator-inhibitor spirals emitting mobile localizations) and stationary localizations which destroy or modify gliders, along with a rich diversity of emergent structures with computational properties We describe how structures are created and annihilated by glider collisions, and begin to explore the necessary processes that generate this kind of complex dynamics.