On the periods of parallel dynamical systems
type: Item
instance of: scholarly article
title: On the periods of parallel dynamical systems
zbMATH Open document ID: 1367.94485
DOI: 10.1155/2017/7209762
author: Juan A. Aledo
author: Luis Guillermo Díaz
author: S. Martinez
author: Jose C. Valverde
published in: Complexity
publication date: 2017-08-03T00:00:00Z
review text: Summary: In this work, we provide conditions to obtain fixed-point theorems for parallel dynamical systems over graphs with (Boolean) maxterms and minterms as global evolution operators. In order to do that, we previously prove that periodic orbits of different periods cannot coexist, which implies that Sharkovsky's order is not valid for this kind of dynamical systems.
Mathematics Subject Classification ID: 94C15
Mathematics Subject Classification ID: 05C82
zbMATH DE Number: 6755997
zbMATH Keywords: parallel dynamical systems over graphs
zbMATH Keywords: global evolution operators
zbMATH Keywords: (Boolean) maxterms and minterms
zbMATH Keywords: periodic orbits of different periods
zbMATH Keywords: Sharkovsky's order
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/7209762
OpenAlex ID: W2575879015
Wikidata QID: Q59142943
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DBLP publication ID: journals/complexity/AledoDMV17
description: scientific article; zbMATH DE number 6755997