PERIOD DISTRIBUTION FOR KAUFFMAN CELLULAR AUTOMATA

被引:9
作者
DE ARCANGELIS, L [1 ]
STAUFFER, D [1 ]
机构
[1] UNIV COLOGNE, INST THEORET PHYS, D-5000 COLOGNE 41, FED REP GER
来源
JOURNAL DE PHYSIQUE | 1987年 / 48卷 / 11期
关键词
MATHEMATICAL STATISTICS - Monte Carlo Methods;
D O I
10.1051/jphys:0198700480110188100
中图分类号
学科分类号
摘要
The two-dimensional random Boolean networks suggested by Kauffman have a transition to chaos. We find by Monte Carlo simulation the periods of the limit cycles, both for each site as well as for the lattice as a whole, at the transition point and away from it, for the square lattice. The triangular lattice seems to have the same fractal dimensions as the square lattice.
引用
收藏
页码:1881 / 1886
页数:6
相关论文
共 19 条
[1]  
BATROUNI GG, 1987, IN PRESS J PHYSIQUE, V48
[2]  
BUNDE A, 1987, IN PRESS J PHYS A, V20
[3]  
CONIGLIO A, UNPUB
[4]   ANOMALOUS VOLTAGE DISTRIBUTION OF RANDOM RESISTOR NETWORKS AND A NEW MODEL FOR THE BACKBONE AT THE PERCOLATION-THRESHOLD [J].
DE ARCANGELIS, L ;
REDNER, S ;
CONIGLIO, A .
PHYSICAL REVIEW B, 1985, 31 (07) :4725-4727
[5]   FRACTAL DIMENSIONS IN 3-DIMENSIONAL KAUFFMAN CELLULAR AUTOMATA [J].
DE ARCANGELIS, L .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (06) :L369-L373
[6]  
DEARCANGELIS L, 1986, THESIS BOSTON U
[7]  
DEMME ES, UNPUB
[8]   PHASE-TRANSITIONS IN TWO-DIMENSIONAL KAUFFMAN CELLULAR AUTOMATA [J].
DERRIDA, B ;
STAUFFER, D .
EUROPHYSICS LETTERS, 1986, 2 (10) :739-745
[9]  
DERRIDA B, IN PRESS PHILOS MAG
[10]  
HERRMANN HJ, 1987, IN PRESS J PHYS A, V20