高斯-塞德尔型有限元胞自动机的动力学行为

Memoirs of The Faculty of Science, Kyushu University. Series A, Mathematics Pub Date : 1993-03-23 DOI:10.2206/KYUSHUMFS.47.15

Satoru Kumamoto, N. Yamamoto, Masaya Nohmi

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摘要

本文的目的是提供所谓的高斯-塞德尔型有限细胞自动机的全局转移函数及其约旦范式的矩阵表示。利用全局转移函数的矩阵表示的约旦范式，计算了这些系统的不动点数和最大循环长度

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On dynamical behavior of Gauss-Seidel type tinite cellular automata

The purpose of this paper is to provide a matrix representation of global transition functions of so-called Gauss-Seidel type finite celluar automata and their Jordan normal forms. The numbers of fixed points and the maximum length of cycles of these systems are calculated by using Jordan normal forms of the matrix representation of global transition functions

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Memoirs of The Faculty of Science, Kyushu University. Series A, Mathematics

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