ALGEBRAIC PROPERTY OF FLOW DIAGRAM IN A TIME-REVERSE CELLULAR-AUTOMATON

Citation
T. Nakamura et Yp. Gunji, ALGEBRAIC PROPERTY OF FLOW DIAGRAM IN A TIME-REVERSE CELLULAR-AUTOMATON, Applied mathematics and computation, 62(2-3), 1994, pp. 103-127
Citations number
15
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
00963003
Volume
62
Issue
2-3
Year of publication
1994
Pages
103 - 127
Database
ISI
SICI code
0096-3003(1994)62:2-3<103:APOFDI>2.0.ZU;2-Q
Abstract
The autonomously emerging boundary model (AEB) is a basic and probably intrinsic model for living things or an irreversible system. It is fo rmulated using an elementary cellular automaton and features the opera tion of the time-reverse rule. The time-reverse rule could contradict the ordinary temporal rule, and we can express the discrepancy between the macroscopic rule and the microscopic rule. In this paper we show the short procedure of AEB and the new recipe for the flow diagram, wh ich is a reference for the time-reverse rule (primitive FD). It is als o shown that we can obtain the class of box in the flow diagram and th at the flow diagram is closed. In particular we show the feature of th e primitive FD of the symmetric rule.