Fixed Points in Generalized Parallel Dynamical System with NAND or NOR Local Functions over Directed Rooted Trees
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.
generalized parallel dynamical systemdirected rooted treeBoolean functionfixed point
孙彦文、郑洁
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东华大学 理学院,上海 201620
广义并序动力系统 有向根树 布尔函数 固定点
2021 Shanghai Philosophy and Social Sciences Planning Project