INTERACTING MAPS , SYMBOLIC DYNAMICS AND AUTOMORPHISMS IN MICROSCOPIC SCALE
INTERACTING MAPS , SYMBOLIC DYNAMICS AND AUTOMORPHISMS IN MICROSCOPIC SCALE
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发表时间：
2011
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通讯作者：
Tsuyoshi Kato
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作者：
Tsuyoshi Kato
受分子生物学中出现的几种模式的启发，本文利用区间上的映射族在微观尺度上构造了一些相互作用系统。通过将这些映射的组合值投影到一个有限子集，我们将重建几个与宏观现象相对应的自动机。它们包括Lotka-Volterra细胞自动机和生产点灯器组的细胞自动机。我们还研究了这类映射相互作用系统的一些动力学性质。学科分类：92D20、37B10、37B15、37E05、05C25
Motivated by several patterns arising in molecular biology, in this paper we formulate some interaction systems in micro scale by use of families of maps on the interval. By projecting values of compositions of these maps to a finity subset, we will reconstruct several automata which correspond to macro phenomena. They include Lotka-Volterra cell automaton and the one which produce the lamplighter group. We also study some dynamical properties of such interaction systems of maps. AMS Subject Classification: 92D20, 37B10, 37B15, 37E05, 05C25