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Designing temporal networks that synchronize under resource constraints
Being fundamentally a non-equilibrium process, synchronization comes with unavoidable energy costs and has to be maintained under the constraint of limited resources. Such resource constraints are often reflected as a finite coupling budget available in a network to facilitate interaction and commun...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8169648/ https://www.ncbi.nlm.nih.gov/pubmed/34075037 http://dx.doi.org/10.1038/s41467-021-23446-9 |
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author | Zhang, Yuanzhao Strogatz, Steven H. |
author_facet | Zhang, Yuanzhao Strogatz, Steven H. |
author_sort | Zhang, Yuanzhao |
collection | PubMed |
description | Being fundamentally a non-equilibrium process, synchronization comes with unavoidable energy costs and has to be maintained under the constraint of limited resources. Such resource constraints are often reflected as a finite coupling budget available in a network to facilitate interaction and communication. Here, we show that introducing temporal variation in the network structure can lead to efficient synchronization even when stable synchrony is impossible in any static network under the given budget, thereby demonstrating a fundamental advantage of temporal networks. The temporal networks generated by our open-loop design are versatile in the sense of promoting synchronization for systems with vastly different dynamics, including periodic and chaotic dynamics in both discrete-time and continuous-time models. Furthermore, we link the dynamic stabilization effect of the changing topology to the curvature of the master stability function, which provides analytical insights into synchronization on temporal networks in general. In particular, our results shed light on the effect of network switching rate and explain why certain temporal networks synchronize only for intermediate switching rate. |
format | Online Article Text |
id | pubmed-8169648 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-81696482021-06-07 Designing temporal networks that synchronize under resource constraints Zhang, Yuanzhao Strogatz, Steven H. Nat Commun Article Being fundamentally a non-equilibrium process, synchronization comes with unavoidable energy costs and has to be maintained under the constraint of limited resources. Such resource constraints are often reflected as a finite coupling budget available in a network to facilitate interaction and communication. Here, we show that introducing temporal variation in the network structure can lead to efficient synchronization even when stable synchrony is impossible in any static network under the given budget, thereby demonstrating a fundamental advantage of temporal networks. The temporal networks generated by our open-loop design are versatile in the sense of promoting synchronization for systems with vastly different dynamics, including periodic and chaotic dynamics in both discrete-time and continuous-time models. Furthermore, we link the dynamic stabilization effect of the changing topology to the curvature of the master stability function, which provides analytical insights into synchronization on temporal networks in general. In particular, our results shed light on the effect of network switching rate and explain why certain temporal networks synchronize only for intermediate switching rate. Nature Publishing Group UK 2021-06-01 /pmc/articles/PMC8169648/ /pubmed/34075037 http://dx.doi.org/10.1038/s41467-021-23446-9 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . |
spellingShingle | Article Zhang, Yuanzhao Strogatz, Steven H. Designing temporal networks that synchronize under resource constraints |
title | Designing temporal networks that synchronize under resource constraints |
title_full | Designing temporal networks that synchronize under resource constraints |
title_fullStr | Designing temporal networks that synchronize under resource constraints |
title_full_unstemmed | Designing temporal networks that synchronize under resource constraints |
title_short | Designing temporal networks that synchronize under resource constraints |
title_sort | designing temporal networks that synchronize under resource constraints |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8169648/ https://www.ncbi.nlm.nih.gov/pubmed/34075037 http://dx.doi.org/10.1038/s41467-021-23446-9 |
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