An Information-Based Classification of Elementary Cellular Automata

作者:Borriello Enrico*; Walker Sara Imari
来源:Complexity, 2017, 2017: 1280351.
DOI:10.1155/2017/1280351

摘要

We propose a novel, information-based classification of elementary cellular automata. The classification scheme proposed circumvents the problems associated with isolating whether complexity is in fact intrinsic to a dynamical rule, or if it arises merely as a product of a complex initial state. Transfer entropy variations processed by cellular automata split the 256 elementary rules into three information classes, based on sensitivity to initial conditions. These classes form a hierarchy such that coarse-graining transitions observed among elementary rules predominately occur within each information-based class or, much more rarely, down the hierarchy.

  • 出版日期2017