Cycles , Transients , and Complexity in the Game of Death Spatial Automaton

Cycles , Transients , and Complexity in the Game of Death Spatial Automaton
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死亡空间自动机中的循环,瞬变和复杂性

DOI:
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发表时间:
2011
期刊:
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影响因子:
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通讯作者:
C. Scogings
C. Scogings
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文献类型:
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作者:
K. Hawick;C. Scogings

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细胞自动机模型,如康威的生命游戏,长期以来一直表现出高度的空间复杂性。空间模式可以在这个模型和其他模型中进行分析和分类,并用作编目其他相关模型及其行为类别的基础。当引入第三种状态时,会出现一个有趣的变化,我们在Silverman的“Brian's Brain”(有时称为“死亡游戏”)等模型中探索其后果,其中“僵尸”被引入空间模型。第三种状态和与三个组成物种相关的微观规则产生了一组丰富的新阶段和行为,可以进行模拟和统计分类。我们专注于随机系统初始化后的早期瞬态行为和随后的物种多样性爆炸后的初始稀疏。
Cellular automaton models such as Conway’s Game of Life have long been shown to exhibit a high degree of spatial complexity. Spatial patterns can be analysed and categorised in this and other models and used as a basis for cataloging other related models and their behaviour classes. An interesting variation arises when a third state is introduced and we explore the consequences of this in models like Silverman’s “Brian’s Brain” – sometimes known as the “Game of Death” where “zombies” are introduced into the spatial model. The third state and the microscopic rules associated with the three constituent species gives rise to a rich new set of phases and behaviours with can be simulated and catalogued statistically. We focus on the early transient behaviour following a random system initialisation and the initial thinning out following by a subsequent explosion in species diversity.