A new method to reduce the number of time delays in a network

Abstract Time delays may cause dramatic changes to the dynamics of interacting oscillators. Coupled networks of interacting dynamical systems can have unexpected behaviours when the signal between the vertices are time delayed. It has been shown for a very general class of systems that the time dela...

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Autores principales:	Alexandre Wagemakers, Miguel A. F. Sanjuán
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/e7035442300d4d82a4c172b5f338dae0
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spelling	oai:doaj.org-article:e7035442300d4d82a4c172b5f338dae02021-12-02T12:32:03ZA new method to reduce the number of time delays in a network10.1038/s41598-017-02978-52045-2322https://doaj.org/article/e7035442300d4d82a4c172b5f338dae02017-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-02978-5https://doaj.org/toc/2045-2322Abstract Time delays may cause dramatic changes to the dynamics of interacting oscillators. Coupled networks of interacting dynamical systems can have unexpected behaviours when the signal between the vertices are time delayed. It has been shown for a very general class of systems that the time delays can be rearranged as long as the total time delay over the constitutive loops of the network is conserved. This fact allows to reduce the number of time delays of the problem without loss of information. There is a theoretical lower bound for this number that can be numerically improved if the time delays are commensurable. Here we propose a formulation of the problem and a numerical method to even further reduce the number of time delays in a network.Alexandre WagemakersMiguel A. F. SanjuánNature 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 Alexandre Wagemakers Miguel A. F. Sanjuán A new method to reduce the number of time delays in a network
description	Abstract Time delays may cause dramatic changes to the dynamics of interacting oscillators. Coupled networks of interacting dynamical systems can have unexpected behaviours when the signal between the vertices are time delayed. It has been shown for a very general class of systems that the time delays can be rearranged as long as the total time delay over the constitutive loops of the network is conserved. This fact allows to reduce the number of time delays of the problem without loss of information. There is a theoretical lower bound for this number that can be numerically improved if the time delays are commensurable. Here we propose a formulation of the problem and a numerical method to even further reduce the number of time delays in a network.
format	article
author	Alexandre Wagemakers Miguel A. F. Sanjuán
author_facet	Alexandre Wagemakers Miguel A. F. Sanjuán
author_sort	Alexandre Wagemakers
title	A new method to reduce the number of time delays in a network
title_short	A new method to reduce the number of time delays in a network
title_full	A new method to reduce the number of time delays in a network
title_fullStr	A new method to reduce the number of time delays in a network
title_full_unstemmed	A new method to reduce the number of time delays in a network
title_sort	new method to reduce the number of time delays in a network
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/e7035442300d4d82a4c172b5f338dae0
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A new method to reduce the number of time delays in a network

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