Almost global convergence to practical synchronization in the generalized Kuramoto model on networks over the n-sphere

The Kuramoto model describes how collective synchronization appears spontaneously in a population of rhythmic units and is typically studied on a one dimensional circle. Here, the authors generalise the Kuramoto model on higher-dimensional manifolds and show that it achieves almost global convergenc...

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Autores principales:	Johan Markdahl, Daniele Proverbio, La Mi, Jorge Goncalves
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Astrophysics QB460-466 Physics QC1-999
Acceso en línea:	https://doaj.org/article/264e85146d5641a6a0f7e2035cce162c
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spelling	oai:doaj.org-article:264e85146d5641a6a0f7e2035cce162c2021-12-02T17:08:24ZAlmost global convergence to practical synchronization in the generalized Kuramoto model on networks over the n-sphere10.1038/s42005-021-00689-y2399-3650https://doaj.org/article/264e85146d5641a6a0f7e2035cce162c2021-08-01T00:00:00Zhttps://doi.org/10.1038/s42005-021-00689-yhttps://doaj.org/toc/2399-3650The Kuramoto model describes how collective synchronization appears spontaneously in a population of rhythmic units and is typically studied on a one dimensional circle. Here, the authors generalise the Kuramoto model on higher-dimensional manifolds and show that it achieves almost global convergence to synchronization and, in even dimensions, the fully synchronized state is attainable for nonidentical frequencies, in sharp contrast with the classical one-dimensional model.Johan MarkdahlDaniele ProverbioLa MiJorge GoncalvesNature PortfolioarticleAstrophysicsQB460-466PhysicsQC1-999ENCommunications Physics, Vol 4, Iss 1, Pp 1-9 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Astrophysics QB460-466 Physics QC1-999
spellingShingle	Astrophysics QB460-466 Physics QC1-999 Johan Markdahl Daniele Proverbio La Mi Jorge Goncalves Almost global convergence to practical synchronization in the generalized Kuramoto model on networks over the n-sphere
description	The Kuramoto model describes how collective synchronization appears spontaneously in a population of rhythmic units and is typically studied on a one dimensional circle. Here, the authors generalise the Kuramoto model on higher-dimensional manifolds and show that it achieves almost global convergence to synchronization and, in even dimensions, the fully synchronized state is attainable for nonidentical frequencies, in sharp contrast with the classical one-dimensional model.
format	article
author	Johan Markdahl Daniele Proverbio La Mi Jorge Goncalves
author_facet	Johan Markdahl Daniele Proverbio La Mi Jorge Goncalves
author_sort	Johan Markdahl
title	Almost global convergence to practical synchronization in the generalized Kuramoto model on networks over the n-sphere
title_short	Almost global convergence to practical synchronization in the generalized Kuramoto model on networks over the n-sphere
title_full	Almost global convergence to practical synchronization in the generalized Kuramoto model on networks over the n-sphere
title_fullStr	Almost global convergence to practical synchronization in the generalized Kuramoto model on networks over the n-sphere
title_full_unstemmed	Almost global convergence to practical synchronization in the generalized Kuramoto model on networks over the n-sphere
title_sort	almost global convergence to practical synchronization in the generalized kuramoto model on networks over the n-sphere
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/264e85146d5641a6a0f7e2035cce162c
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Almost global convergence to practical synchronization in the generalized Kuramoto model on networks over the n-sphere

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