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math.DS2019★ 4 cited
Maximal temporal period of a periodic solution generated by a one-dimensional cellular automaton
Janko Gravner, Xiaochen Liu
We study one-dimensional cellular automata evolutions with both temporal and spatial periodicity. The main objective is to investigate the longest temporal periods among all two-ne…
math.DS2015★ 3 cited
Introducing Lyapunov profiles of cellular automata
Jan M. Baetens, Janko Gravner
In line with the stability theory of continuous dynamical systems, Lyapunov exponents of cellular automata (CAs) have been conceived two decades ago to quantify to what extent thei…