Nonlinear dynamics of the cellular-automaton ``game of Life''
作者： JBC Garcia , MAF Gomes , TI Jyh , TI Ren , TRM Sales
关键词: Statistical function 、 Cellular automaton 、 Mathematics 、 Discrete mathematics 、 Game of life 、 Statistical physics 、 Uncorrelated 、 Nonlinear system 、 Critical exponent 、 Scaling 、 Cluster size
摘要: A statistical analysis of the «game Life» due to Conway [Berlekamp, Conway, and Guy, Winning Ways for Your Mathematical Plays (Academic, New York, 1982), Vol. 2] is reported. The results are based on extensive computer simulations starting with uncorrelated distributions live sites at t=0. number n (s, t) clusters s time t, mean cluster size s(t), diversity sizes among other functions obtained. dependence initial density examined. Several scaling relations as well static dynamic critical exponents found
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