Complimentary to existing description methods of one-dimensional cellular automata dynamics the present study proposes a new ‘micro-historicizing’ approach inspired by Wolfram’s concept of temporal entropy and Kitano’s concept of robustness derived from biology: introducing ‘temporal sub-attractors’ the cell activity of specific automata settings can be typified in a novel way as kind of underlying phase space similar to a conditional heat map representing the activity of individual cells. The robustness of such a sub-phase space can be derived from two morphological trajectories: a robust sub-phase space can be expressed graphically as a sequence of temporal sub-attractor loops of rebalancing activity curves. Whereas a bifurcation of the sub-phase space with continuously diverging curves indicates a non-robust automaton configuration. Conceptually, the temporal sub-attractors bring a biological stress component into the physically inspired cellular automata models, which might not only be of help for modelling in biology, but also in material science and engineering science.

作为对一维细胞自动机动力学现有描述方法的补充，本研究提出了一种新的“微观历史化”方法，其灵感来自 Wolfram 的时间熵概念和 Kitano 源自生物学的稳健性概念：引入“时间子吸引子”细胞活动可以以一种新颖的方式将特定自动机设置的数量表征为一种潜在的相空间，类似于表示单个细胞活动的条件热图。这种子相空间的鲁棒性可以从两个形态轨迹中得出：一个鲁棒的子相空间可以用图形表示为重新平衡活动曲线的时间子吸引子循环序列。而具有连续发散曲线的子相空间的分叉表明非鲁棒自动机配置。