DAMAGE SPREADING AND LYAPUNOV EXPONENTS IN CELLULAR AUTOMATA

被引：63
|
作者：
BAGNOLI, F
RECHTMAN, R
RUFFO, S
机构：
[1] UNIV FLORENCE,DIPARTIMENTO ENERGET,I-50139 FLORENCE,ITALY
[2] SEZ INFN,FLORENCE,ITALY
[3] UNITA INFM FIRENZE,FLORENCE,ITALY
来源：
PHYSICS LETTERS A | 1992年 / 172卷 / 1-2期
关键词：
D O I：
10.1016/0375-9601(92)90185-O
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Using the concept of the Boolean derivative we study local damage spreading for one-dimensional elementary cellular automata and define their maximal Lyapunov exponent. A random matrix approximation describes quite well the behavior of ''chaotic'' cellular automata and predicts a directed percolation-type phase transition. After the introduction of a small amount of noise elementary cellular automata reveal the same type of transition.
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页码：34 / 38
页数：5
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