On some applications of cellular automata

被引：19

作者：

Ahmed, E

Elgazzar, AS ^{[1
]}

机构：

[1] Fac Educ, Dept Math, El Arish 45111, Egypt

[2] Fac Sci, Dept Math, Al Ain, U Arab Emirates

[3] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

来源：

PHYSICA A | 2001年 / 296卷 / 3-4期

关键词：

cellular automata; Cattaneo cellular automata; memory games; probabilistic minority games; epidemic modelling;

D O I：

10.1016/S0378-4371(01)00182-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Cellular automata model corresponding to Cattaneo's diffusion is constructed. Its phase space is given. Delay is shown to decrease the chaotic (Damage spread) region. Then cellular automata are used to study a stochastic minority game. Payoff memory approach introduced by Smale is used. A corresponding dynamical system is also derived. Cellular automata model for an epidemic in a population whose individuals are cycling between two places is constructed. Both cases of uniform and random susceptibilities are included. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：529 / 538

页数：10

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