Limits on Anti-Phase Synchronization in Oscillator Networks

Abstract Anti-phase synchronization is the spontaneous formation of 2 clusters of oscillators synchronized between themselves within a cluster but opposite in phase with the other cluster. Neuronal networks in human and animal brains, ecological networks, climactic networks, and lasers are all syste...

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Autores principales:	George Vathakkattil Joseph, Vikram Pakrashi
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2020
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/40f76bd8ced448afaf6c2d46762e8555
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spelling	oai:doaj.org-article:40f76bd8ced448afaf6c2d46762e85552021-12-02T17:45:12ZLimits on Anti-Phase Synchronization in Oscillator Networks10.1038/s41598-020-67021-62045-2322https://doaj.org/article/40f76bd8ced448afaf6c2d46762e85552020-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-020-67021-6https://doaj.org/toc/2045-2322Abstract Anti-phase synchronization is the spontaneous formation of 2 clusters of oscillators synchronized between themselves within a cluster but opposite in phase with the other cluster. Neuronal networks in human and animal brains, ecological networks, climactic networks, and lasers are all systems that exhibit anti-phase synchronization although the phenomenon is encountered less frequently than the celebrated in-phase synchronization. We show that this disparity in occurrence is due to fundamental limits on the size of networks that can sustain anti-phase synchronization. We study the influence of network structure and coupling conditions on anti-phase synchronization in networks composed of coupled Stuart-Landau oscillators. The dependence of probability of anti-phase synchronization on connectivity of the network, strength of interaction over distance, and symmetry of the network is illustrated. Regardless of favourable network conditions, we show that anti-phase synchronization is limited to small networks, typically smaller than 20 nodes.George Vathakkattil JosephVikram PakrashiNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 10, Iss 1, Pp 1-9 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q George Vathakkattil Joseph Vikram Pakrashi Limits on Anti-Phase Synchronization in Oscillator Networks
description	Abstract Anti-phase synchronization is the spontaneous formation of 2 clusters of oscillators synchronized between themselves within a cluster but opposite in phase with the other cluster. Neuronal networks in human and animal brains, ecological networks, climactic networks, and lasers are all systems that exhibit anti-phase synchronization although the phenomenon is encountered less frequently than the celebrated in-phase synchronization. We show that this disparity in occurrence is due to fundamental limits on the size of networks that can sustain anti-phase synchronization. We study the influence of network structure and coupling conditions on anti-phase synchronization in networks composed of coupled Stuart-Landau oscillators. The dependence of probability of anti-phase synchronization on connectivity of the network, strength of interaction over distance, and symmetry of the network is illustrated. Regardless of favourable network conditions, we show that anti-phase synchronization is limited to small networks, typically smaller than 20 nodes.
format	article
author	George Vathakkattil Joseph Vikram Pakrashi
author_facet	George Vathakkattil Joseph Vikram Pakrashi
author_sort	George Vathakkattil Joseph
title	Limits on Anti-Phase Synchronization in Oscillator Networks
title_short	Limits on Anti-Phase Synchronization in Oscillator Networks
title_full	Limits on Anti-Phase Synchronization in Oscillator Networks
title_fullStr	Limits on Anti-Phase Synchronization in Oscillator Networks
title_full_unstemmed	Limits on Anti-Phase Synchronization in Oscillator Networks
title_sort	limits on anti-phase synchronization in oscillator networks
publisher	Nature Portfolio
publishDate	2020
url	https://doaj.org/article/40f76bd8ced448afaf6c2d46762e8555
work_keys_str_mv	AT georgevathakkattiljoseph limitsonantiphasesynchronizationinoscillatornetworks AT vikrampakrashi limitsonantiphasesynchronizationinoscillatornetworks
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Limits on Anti-Phase Synchronization in Oscillator Networks

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