Explosive death induced by mean–field diffusion in identical oscillators

Abstract We report the occurrence of an explosive death transition for the first time in an ensemble of identical limit cycle and chaotic oscillators coupled via mean–field diffusion. In both systems, the variation of the normalized amplitude with the coupling strength exhibits an abrupt and irrever...

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Autores principales:	Umesh Kumar Verma, Amit Sharma, Neeraj Kumar Kamal, Jürgen Kurths, Manish Dev Shrimali
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/db2f9ca8760340f285eed2435f29d431
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spelling	oai:doaj.org-article:db2f9ca8760340f285eed2435f29d4312021-12-02T11:40:33ZExplosive death induced by mean–field diffusion in identical oscillators10.1038/s41598-017-07926-x2045-2322https://doaj.org/article/db2f9ca8760340f285eed2435f29d4312017-08-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-07926-xhttps://doaj.org/toc/2045-2322Abstract We report the occurrence of an explosive death transition for the first time in an ensemble of identical limit cycle and chaotic oscillators coupled via mean–field diffusion. In both systems, the variation of the normalized amplitude with the coupling strength exhibits an abrupt and irreversible transition to death state from an oscillatory state and this first order phase transition to death state is independent of the size of the system. This transition is quite general and has been found in all the coupled systems where in–phase oscillations co–exist with a coupling dependent homogeneous steady state. The backward transition point for this phase transition has been calculated using linear stability analysis which is in complete agreement with the numerics.Umesh Kumar VermaAmit SharmaNeeraj Kumar KamalJürgen KurthsManish Dev ShrimaliNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-7 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Umesh Kumar Verma Amit Sharma Neeraj Kumar Kamal Jürgen Kurths Manish Dev Shrimali Explosive death induced by mean–field diffusion in identical oscillators
description	Abstract We report the occurrence of an explosive death transition for the first time in an ensemble of identical limit cycle and chaotic oscillators coupled via mean–field diffusion. In both systems, the variation of the normalized amplitude with the coupling strength exhibits an abrupt and irreversible transition to death state from an oscillatory state and this first order phase transition to death state is independent of the size of the system. This transition is quite general and has been found in all the coupled systems where in–phase oscillations co–exist with a coupling dependent homogeneous steady state. The backward transition point for this phase transition has been calculated using linear stability analysis which is in complete agreement with the numerics.
format	article
author	Umesh Kumar Verma Amit Sharma Neeraj Kumar Kamal Jürgen Kurths Manish Dev Shrimali
author_facet	Umesh Kumar Verma Amit Sharma Neeraj Kumar Kamal Jürgen Kurths Manish Dev Shrimali
author_sort	Umesh Kumar Verma
title	Explosive death induced by mean–field diffusion in identical oscillators
title_short	Explosive death induced by mean–field diffusion in identical oscillators
title_full	Explosive death induced by mean–field diffusion in identical oscillators
title_fullStr	Explosive death induced by mean–field diffusion in identical oscillators
title_full_unstemmed	Explosive death induced by mean–field diffusion in identical oscillators
title_sort	explosive death induced by mean–field diffusion in identical oscillators
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/db2f9ca8760340f285eed2435f29d431
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Explosive death induced by mean–field diffusion in identical oscillators

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