东华大学学报（英文版）2024，Vol.41Issue(2)：214-220,7.DOI:10.19884/j.1672-5220.202309008
有向根树上局部更新函数为NAND或NOR的广义并序动力系统的固定点
Fixed Points in Generalized Parallel Dynamical System with NAND or NOR Local Functions over Directed Rooted Trees
摘要
Abstract
In order to study the exact number and states of fixed points in the generalized dynamical system with NAND or NOR local functions over directed rooted trees,structural analysis and classification discussion methods are applied.The exact results of the fixed points in such dynamical systems are obtained.It is proved that the fixed points in such dynamical systems are completely determined by the loops in the rooted trees.This work provides a relevant advance in the knowledge of discrete dynamical systems which constitute mathematical tools to model simulation processes.关键词
广义并序动力系统/有向根树/布尔函数/固定点Key words
generalized parallel dynamical system/directed rooted tree/Boolean function/fixed point分类
数理科学引用本文复制引用
孙彦文,郑洁..有向根树上局部更新函数为NAND或NOR的广义并序动力系统的固定点[J].东华大学学报（英文版）,2024,41(2):214-220,7.基金项目
2021 Shanghai Philosophy and Social Sciences Planning Project(No.2021BFX005) （No.2021BFX005）
