Emergence of coupling-induced oscillations and broken symmetries in heterogeneously driven nonlinear reaction networks

Abstract Many natural systems including the brain comprise coupled elements that are stimulated non-uniformly. In this paper we show that heterogeneously driven networks of excitatory-inhibitory units exhibit a diverse range of collective phenomena, including the appearance of spontaneous oscillatio...

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Autores principales: Varsha Sreenivasan, Shakti N. Menon, Sitabhra Sinha
Formato: article
Lenguaje:EN
Publicado: Nature Portfolio 2017
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Acceso en línea:https://doaj.org/article/496042a165254bc4ad162751c95c92b8
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spelling oai:doaj.org-article:496042a165254bc4ad162751c95c92b82021-12-02T12:32:41ZEmergence of coupling-induced oscillations and broken symmetries in heterogeneously driven nonlinear reaction networks10.1038/s41598-017-01670-y2045-2322https://doaj.org/article/496042a165254bc4ad162751c95c92b82017-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-01670-yhttps://doaj.org/toc/2045-2322Abstract Many natural systems including the brain comprise coupled elements that are stimulated non-uniformly. In this paper we show that heterogeneously driven networks of excitatory-inhibitory units exhibit a diverse range of collective phenomena, including the appearance of spontaneous oscillations upon coupling quiescent elements. On varying the coupling strength a previously unreported transition is seen wherein the symmetries of the synchronization patterns in the stimulated and unstimulated groups undergo mutual exchange. The system also exhibits coexisting chaotic and non-chaotic attractors - a result that may be of interest in connection to earlier reports of varying degrees of chaoticity in the brain.Varsha SreenivasanShakti N. MenonSitabhra SinhaNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-8 (2017)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Varsha Sreenivasan
Shakti N. Menon
Sitabhra Sinha
Emergence of coupling-induced oscillations and broken symmetries in heterogeneously driven nonlinear reaction networks
description Abstract Many natural systems including the brain comprise coupled elements that are stimulated non-uniformly. In this paper we show that heterogeneously driven networks of excitatory-inhibitory units exhibit a diverse range of collective phenomena, including the appearance of spontaneous oscillations upon coupling quiescent elements. On varying the coupling strength a previously unreported transition is seen wherein the symmetries of the synchronization patterns in the stimulated and unstimulated groups undergo mutual exchange. The system also exhibits coexisting chaotic and non-chaotic attractors - a result that may be of interest in connection to earlier reports of varying degrees of chaoticity in the brain.
format article
author Varsha Sreenivasan
Shakti N. Menon
Sitabhra Sinha
author_facet Varsha Sreenivasan
Shakti N. Menon
Sitabhra Sinha
author_sort Varsha Sreenivasan
title Emergence of coupling-induced oscillations and broken symmetries in heterogeneously driven nonlinear reaction networks
title_short Emergence of coupling-induced oscillations and broken symmetries in heterogeneously driven nonlinear reaction networks
title_full Emergence of coupling-induced oscillations and broken symmetries in heterogeneously driven nonlinear reaction networks
title_fullStr Emergence of coupling-induced oscillations and broken symmetries in heterogeneously driven nonlinear reaction networks
title_full_unstemmed Emergence of coupling-induced oscillations and broken symmetries in heterogeneously driven nonlinear reaction networks
title_sort emergence of coupling-induced oscillations and broken symmetries in heterogeneously driven nonlinear reaction networks
publisher Nature Portfolio
publishDate 2017
url https://doaj.org/article/496042a165254bc4ad162751c95c92b8
work_keys_str_mv AT varshasreenivasan emergenceofcouplinginducedoscillationsandbrokensymmetriesinheterogeneouslydrivennonlinearreactionnetworks
AT shaktinmenon emergenceofcouplinginducedoscillationsandbrokensymmetriesinheterogeneouslydrivennonlinearreactionnetworks
AT sitabhrasinha emergenceofcouplinginducedoscillationsandbrokensymmetriesinheterogeneouslydrivennonlinearreactionnetworks
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