Robustness to noise in synchronization of complex networks

In this report, we investigate dynamical robustness of a complex network to noise injected through one of its nodes. We focus on synchronization of coupled nonlinear systems and, as a special instance, we address the classical consensus protocol for linear integrators. We establish an exact closed-f...

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Main Authors:	Buscarino, Arturo, Gambuzza, Lucia Valentina, Porfiri, Maurizio, Fortuna, Luigi, Frasca, Mattia
Format:	Online
Language:	English
Published:	Nature Publishing Group 2013
Online Access:	https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3686165/

id	pubmed-3686165
recordtype	oai_dc
spelling	pubmed-36861652013-06-24 Robustness to noise in synchronization of complex networks Buscarino, Arturo Gambuzza, Lucia Valentina Porfiri, Maurizio Fortuna, Luigi Frasca, Mattia Article In this report, we investigate dynamical robustness of a complex network to noise injected through one of its nodes. We focus on synchronization of coupled nonlinear systems and, as a special instance, we address the classical consensus protocol for linear integrators. We establish an exact closed-form expression of the synchronization error for the consensus protocol and an approximate result for chaotic units. While structural robustness is known to be significantly affected by attacks targeted to network hubs, our results posit that dynamical robustness is controlled by both the topology of the network and the dynamics of the units. We provide examples where hubs perform better or worse than isolated nodes. Nature Publishing Group 2013-06-19 /pmc/articles/PMC3686165/ /pubmed/23778265 http://dx.doi.org/10.1038/srep02026 Text en Copyright © 2013, Macmillan Publishers Limited. All rights reserved http://creativecommons.org/licenses/by-nc-nd/3.0/ This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by-nc-nd/3.0/
repository_type	Open Access Journal
institution_category	Foreign Institution
institution	US National Center for Biotechnology Information
building	NCBI PubMed
collection	Online Access
language	English
format	Online
author	Buscarino, Arturo Gambuzza, Lucia Valentina Porfiri, Maurizio Fortuna, Luigi Frasca, Mattia
spellingShingle	Buscarino, Arturo Gambuzza, Lucia Valentina Porfiri, Maurizio Fortuna, Luigi Frasca, Mattia Robustness to noise in synchronization of complex networks
author_facet	Buscarino, Arturo Gambuzza, Lucia Valentina Porfiri, Maurizio Fortuna, Luigi Frasca, Mattia
author_sort	Buscarino, Arturo
title	Robustness to noise in synchronization of complex networks
title_short	Robustness to noise in synchronization of complex networks
title_full	Robustness to noise in synchronization of complex networks
title_fullStr	Robustness to noise in synchronization of complex networks
title_full_unstemmed	Robustness to noise in synchronization of complex networks
title_sort	robustness to noise in synchronization of complex networks
description	In this report, we investigate dynamical robustness of a complex network to noise injected through one of its nodes. We focus on synchronization of coupled nonlinear systems and, as a special instance, we address the classical consensus protocol for linear integrators. We establish an exact closed-form expression of the synchronization error for the consensus protocol and an approximate result for chaotic units. While structural robustness is known to be significantly affected by attacks targeted to network hubs, our results posit that dynamical robustness is controlled by both the topology of the network and the dynamics of the units. We provide examples where hubs perform better or worse than isolated nodes.
publisher	Nature Publishing Group
publishDate	2013
url	https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3686165/
_version_	1611987401945645056

Robustness to noise in synchronization of complex networks

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