Basin stability for chimera states

Abstract Chimera states, namely complex spatiotemporal patterns that consist of coexisting domains of spatially coherent and incoherent dynamics, are investigated in a network of coupled identical oscillators. These intriguing spatiotemporal patterns were first reported in nonlocally coupled phase o...

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Autores principales:	Sarbendu Rakshit, Bidesh K. Bera, Matjaž Perc, Dibakar Ghosh
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/b2ddfa3f2b624ca19dce2391821d957a
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spelling	oai:doaj.org-article:b2ddfa3f2b624ca19dce2391821d957a2021-12-02T16:06:24ZBasin stability for chimera states10.1038/s41598-017-02409-52045-2322https://doaj.org/article/b2ddfa3f2b624ca19dce2391821d957a2017-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-02409-5https://doaj.org/toc/2045-2322Abstract Chimera states, namely complex spatiotemporal patterns that consist of coexisting domains of spatially coherent and incoherent dynamics, are investigated in a network of coupled identical oscillators. These intriguing spatiotemporal patterns were first reported in nonlocally coupled phase oscillators, and it was shown that such mixed type behavior occurs only for specific initial conditions in nonlocally and globally coupled networks. The influence of initial conditions on chimera states has remained a fundamental problem since their discovery. In this report, we investigate the robustness of chimera states together with incoherent and coherent states in dependence on the initial conditions. For this, we use the basin stability method which is related to the volume of the basin of attraction, and we consider nonlocally and globally coupled time-delayed Mackey-Glass oscillators as example. Previously, it was shown that the existence of chimera states can be characterized by mean phase velocity and a statistical measure, such as the strength of incoherence, by using well prepared initial conditions. Here we show further how the coexistence of different dynamical states can be identified and quantified by means of the basin stability measure over a wide range of the parameter space.Sarbendu RakshitBidesh K. BeraMatjaž PercDibakar GhoshNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-12 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Sarbendu Rakshit Bidesh K. Bera Matjaž Perc Dibakar Ghosh Basin stability for chimera states
description	Abstract Chimera states, namely complex spatiotemporal patterns that consist of coexisting domains of spatially coherent and incoherent dynamics, are investigated in a network of coupled identical oscillators. These intriguing spatiotemporal patterns were first reported in nonlocally coupled phase oscillators, and it was shown that such mixed type behavior occurs only for specific initial conditions in nonlocally and globally coupled networks. The influence of initial conditions on chimera states has remained a fundamental problem since their discovery. In this report, we investigate the robustness of chimera states together with incoherent and coherent states in dependence on the initial conditions. For this, we use the basin stability method which is related to the volume of the basin of attraction, and we consider nonlocally and globally coupled time-delayed Mackey-Glass oscillators as example. Previously, it was shown that the existence of chimera states can be characterized by mean phase velocity and a statistical measure, such as the strength of incoherence, by using well prepared initial conditions. Here we show further how the coexistence of different dynamical states can be identified and quantified by means of the basin stability measure over a wide range of the parameter space.
format	article
author	Sarbendu Rakshit Bidesh K. Bera Matjaž Perc Dibakar Ghosh
author_facet	Sarbendu Rakshit Bidesh K. Bera Matjaž Perc Dibakar Ghosh
author_sort	Sarbendu Rakshit
title	Basin stability for chimera states
title_short	Basin stability for chimera states
title_full	Basin stability for chimera states
title_fullStr	Basin stability for chimera states
title_full_unstemmed	Basin stability for chimera states
title_sort	basin stability for chimera states
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/b2ddfa3f2b624ca19dce2391821d957a
work_keys_str_mv	AT sarbendurakshit basinstabilityforchimerastates AT bideshkbera basinstabilityforchimerastates AT matjazperc basinstabilityforchimerastates AT dibakarghosh basinstabilityforchimerastates
_version_	1718385046878945280

Basin stability for chimera states

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