Boolean networks synchronism sensitivity and XOR circulant networks convergence time

In this paper are presented first results of a theoretical study on the role of non-monotone interactions in Boolean automata networks. We propose to analyse the contribution of non-monotony to the diversity and complexity in their dynamical behaviours according to two axes. The first one consists i...

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Main Authors:	Mathilde Noual, Damien Regnault, Sylvain Sené
Format:	Article
Language:	English
Published:	Open Publishing Association 2012-08-01
Series:	Electronic Proceedings in Theoretical Computer Science
Online Access:	http://arxiv.org/pdf/1208.2767v1

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spelling	doaj-bc5fe22679234d75b65b453737ec3a422020-11-24T20:57:18ZengOpen Publishing AssociationElectronic Proceedings in Theoretical Computer Science2075-21802012-08-0190Proc. AUTOMATA&JAC 2012375210.4204/EPTCS.90.4Boolean networks synchronism sensitivity and XOR circulant networks convergence timeMathilde NoualDamien RegnaultSylvain SenéIn this paper are presented first results of a theoretical study on the role of non-monotone interactions in Boolean automata networks. We propose to analyse the contribution of non-monotony to the diversity and complexity in their dynamical behaviours according to two axes. The first one consists in supporting the idea that non-monotony has a peculiar influence on the sensitivity to synchronism of such networks. It leads us to the second axis that presents preliminary results and builds an understanding of the dynamical behaviours, in particular concerning convergence times, of specific non-monotone Boolean automata networks called XOR circulant networks.http://arxiv.org/pdf/1208.2767v1
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Mathilde Noual Damien Regnault Sylvain Sené
spellingShingle	Mathilde Noual Damien Regnault Sylvain Sené Boolean networks synchronism sensitivity and XOR circulant networks convergence time Electronic Proceedings in Theoretical Computer Science
author_facet	Mathilde Noual Damien Regnault Sylvain Sené
author_sort	Mathilde Noual
title	Boolean networks synchronism sensitivity and XOR circulant networks convergence time
title_short	Boolean networks synchronism sensitivity and XOR circulant networks convergence time
title_full	Boolean networks synchronism sensitivity and XOR circulant networks convergence time
title_fullStr	Boolean networks synchronism sensitivity and XOR circulant networks convergence time
title_full_unstemmed	Boolean networks synchronism sensitivity and XOR circulant networks convergence time
title_sort	boolean networks synchronism sensitivity and xor circulant networks convergence time
publisher	Open Publishing Association
series	Electronic Proceedings in Theoretical Computer Science
issn	2075-2180
publishDate	2012-08-01
description	In this paper are presented first results of a theoretical study on the role of non-monotone interactions in Boolean automata networks. We propose to analyse the contribution of non-monotony to the diversity and complexity in their dynamical behaviours according to two axes. The first one consists in supporting the idea that non-monotony has a peculiar influence on the sensitivity to synchronism of such networks. It leads us to the second axis that presents preliminary results and builds an understanding of the dynamical behaviours, in particular concerning convergence times, of specific non-monotone Boolean automata networks called XOR circulant networks.
url	http://arxiv.org/pdf/1208.2767v1
work_keys_str_mv	AT mathildenoual booleannetworkssynchronismsensitivityandxorcirculantnetworksconvergencetime AT damienregnault booleannetworkssynchronismsensitivityandxorcirculantnetworksconvergencetime AT sylvainsene booleannetworkssynchronismsensitivityandxorcirculantnetworksconvergencetime
_version_	1716788126662262784

Boolean networks synchronism sensitivity and XOR circulant networks convergence time

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