Collective almost synchronisation in complex networks.

This work introduces the phenomenon of Collective Almost Synchronisation (CAS), which describes a universal way of how patterns can appear in complex networks for small coupling strengths. The CAS phenomenon appears due to the existence of an approximately constant local mean field and is characteri...

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Autores principales:	Murilo S Baptista, Hai-Peng Ren, Johen C M Swarts, Rodrigo Carareto, Henk Nijmeijer, Celso Grebogi
Formato:	article
Lenguaje:	EN
Publicado:	Public Library of Science (PLoS) 2012
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/aaf0c96915ec43f69ce7c6c5062a0069
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id	oai:doaj.org-article:aaf0c96915ec43f69ce7c6c5062a0069
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spelling	oai:doaj.org-article:aaf0c96915ec43f69ce7c6c5062a00692021-11-18T08:09:27ZCollective almost synchronisation in complex networks.1932-620310.1371/journal.pone.0048118https://doaj.org/article/aaf0c96915ec43f69ce7c6c5062a00692012-01-01T00:00:00Zhttps://www.ncbi.nlm.nih.gov/pmc/articles/pmid/23144851/?tool=EBIhttps://doaj.org/toc/1932-6203This work introduces the phenomenon of Collective Almost Synchronisation (CAS), which describes a universal way of how patterns can appear in complex networks for small coupling strengths. The CAS phenomenon appears due to the existence of an approximately constant local mean field and is characterised by having nodes with trajectories evolving around periodic stable orbits. Common notion based on statistical knowledge would lead one to interpret the appearance of a local constant mean field as a consequence of the fact that the behaviour of each node is not correlated to the behaviours of the others. Contrary to this common notion, we show that various well known weaker forms of synchronisation (almost, time-lag, phase synchronisation, and generalised synchronisation) appear as a result of the onset of an almost constant local mean field. If the memory is formed in a brain by minimising the coupling strength among neurons and maximising the number of possible patterns, then the CAS phenomenon is a plausible explanation for it.Murilo S BaptistaHai-Peng RenJohen C M SwartsRodrigo CararetoHenk NijmeijerCelso GrebogiPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 7, Iss 11, p e48118 (2012)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Murilo S Baptista Hai-Peng Ren Johen C M Swarts Rodrigo Carareto Henk Nijmeijer Celso Grebogi Collective almost synchronisation in complex networks.
description	This work introduces the phenomenon of Collective Almost Synchronisation (CAS), which describes a universal way of how patterns can appear in complex networks for small coupling strengths. The CAS phenomenon appears due to the existence of an approximately constant local mean field and is characterised by having nodes with trajectories evolving around periodic stable orbits. Common notion based on statistical knowledge would lead one to interpret the appearance of a local constant mean field as a consequence of the fact that the behaviour of each node is not correlated to the behaviours of the others. Contrary to this common notion, we show that various well known weaker forms of synchronisation (almost, time-lag, phase synchronisation, and generalised synchronisation) appear as a result of the onset of an almost constant local mean field. If the memory is formed in a brain by minimising the coupling strength among neurons and maximising the number of possible patterns, then the CAS phenomenon is a plausible explanation for it.
format	article
author	Murilo S Baptista Hai-Peng Ren Johen C M Swarts Rodrigo Carareto Henk Nijmeijer Celso Grebogi
author_facet	Murilo S Baptista Hai-Peng Ren Johen C M Swarts Rodrigo Carareto Henk Nijmeijer Celso Grebogi
author_sort	Murilo S Baptista
title	Collective almost synchronisation in complex networks.
title_short	Collective almost synchronisation in complex networks.
title_full	Collective almost synchronisation in complex networks.
title_fullStr	Collective almost synchronisation in complex networks.
title_full_unstemmed	Collective almost synchronisation in complex networks.
title_sort	collective almost synchronisation in complex networks.
publisher	Public Library of Science (PLoS)
publishDate	2012
url	https://doaj.org/article/aaf0c96915ec43f69ce7c6c5062a0069
work_keys_str_mv	AT murilosbaptista collectivealmostsynchronisationincomplexnetworks AT haipengren collectivealmostsynchronisationincomplexnetworks AT johencmswarts collectivealmostsynchronisationincomplexnetworks AT rodrigocarareto collectivealmostsynchronisationincomplexnetworks AT henknijmeijer collectivealmostsynchronisationincomplexnetworks AT celsogrebogi collectivealmostsynchronisationincomplexnetworks
_version_	1718422127897477120

Collective almost synchronisation in complex networks.

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