基于细胞自动机的生长系统仿真模型研究  

Growth System Simulation Model Based on Cellular Automata

作　　者：于乃功[1] 阮晓钢[1] 

机构地区：[1]北京工业大学电子信息与控制工程学院,北京100022

出　　处：《计算机仿真》2005年第2期228-231,共4页Computer Simulation

基　　金：国家自然科学基金资助项目 (60 2 740 60 ;60 3 75 0 17) ;教育部科学技术研究重点资助项目 (2 0 3 0 0 2 )

摘　　要：该文定义了一种广义生长系统 ,给出了其微分方程模型 ,在此基础上提出了一种基于广义生长系统生长机理和微分方程模型的细胞自动机仿真模型的设计方法 ,并利用此方法设计了广义生长系统的细胞自动机仿真模型 (GCASM)。GCASM采用维的细胞自动机作为生长空间 ,采用Moore邻域作为其细胞邻域 ,演化规则根据生长系统生长机理和微分方程模型设计 ,GCASM细胞代表一个由广义生长系统状态变量确定的特定值。对GCASM进行的统计特性分析结果显示 。A general growth system is defined according to its differential equation model, then a cellular automata simulation model of the general growth system (GCASM for short) is established. GCASM can adopt n-dimensional cellular automata as its growth space, and adopts Moore neighborhood as its cell neighborhood. The transition rules of GCASM are made based on mechanism and differential equation model of the general growth systems. Every cell of GCASM represents a specific value determined by the state variables of general growth systems. The results of statistic property theory analysis show that GCASM is in close agreement with the differential equation model of the general growth system in the sense of mathematical expectation.

关 键 词：生长系统 微分方程模型 细胞自动机 仿真模型 

分 类 号：TP301[自动化与计算机技术—计算机系统结构]