Cargando…

Functional control of oscillator networks

Oscillatory activity is ubiquitous in natural and engineered network systems. The interaction scheme underlying interdependent oscillatory components governs the emergence of network-wide patterns of synchrony that regulate and enable complex functions. Yet, understanding, and ultimately harnessing,...

Descripción completa

Detalles Bibliográficos
Autores principales: Menara, Tommaso, Baggio, Giacomo, Bassett, Dani, Pasqualetti, Fabio
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9372149/
https://www.ncbi.nlm.nih.gov/pubmed/35953467
http://dx.doi.org/10.1038/s41467-022-31733-2
_version_ 1784767317378334720
author Menara, Tommaso
Baggio, Giacomo
Bassett, Dani
Pasqualetti, Fabio
author_facet Menara, Tommaso
Baggio, Giacomo
Bassett, Dani
Pasqualetti, Fabio
author_sort Menara, Tommaso
collection PubMed
description Oscillatory activity is ubiquitous in natural and engineered network systems. The interaction scheme underlying interdependent oscillatory components governs the emergence of network-wide patterns of synchrony that regulate and enable complex functions. Yet, understanding, and ultimately harnessing, the structure-function relationship in oscillator networks remains an outstanding challenge of modern science. Here, we address this challenge by presenting a principled method to prescribe exact and robust functional configurations from local network interactions through optimal tuning of the oscillators’ parameters. To quantify the behavioral synchrony between coupled oscillators, we introduce the notion of functional pattern, which encodes the pairwise relationships between the oscillators’ phases. Our procedure is computationally efficient and provably correct, accounts for constrained interaction types, and allows to concurrently assign multiple desired functional patterns. Further, we derive algebraic and graph-theoretic conditions to guarantee the feasibility and stability of target functional patterns. These conditions provide an interpretable mapping between the structural constraints and their functional implications in oscillator networks. As a proof of concept, we apply the proposed method to replicate empirically recorded functional relationships from cortical oscillations in a human brain, and to redistribute the active power flow in different models of electrical grids.
format Online
Article
Text
id pubmed-9372149
institution National Center for Biotechnology Information
language English
publishDate 2022
publisher Nature Publishing Group UK
record_format MEDLINE/PubMed
spelling pubmed-93721492022-08-13 Functional control of oscillator networks Menara, Tommaso Baggio, Giacomo Bassett, Dani Pasqualetti, Fabio Nat Commun Article Oscillatory activity is ubiquitous in natural and engineered network systems. The interaction scheme underlying interdependent oscillatory components governs the emergence of network-wide patterns of synchrony that regulate and enable complex functions. Yet, understanding, and ultimately harnessing, the structure-function relationship in oscillator networks remains an outstanding challenge of modern science. Here, we address this challenge by presenting a principled method to prescribe exact and robust functional configurations from local network interactions through optimal tuning of the oscillators’ parameters. To quantify the behavioral synchrony between coupled oscillators, we introduce the notion of functional pattern, which encodes the pairwise relationships between the oscillators’ phases. Our procedure is computationally efficient and provably correct, accounts for constrained interaction types, and allows to concurrently assign multiple desired functional patterns. Further, we derive algebraic and graph-theoretic conditions to guarantee the feasibility and stability of target functional patterns. These conditions provide an interpretable mapping between the structural constraints and their functional implications in oscillator networks. As a proof of concept, we apply the proposed method to replicate empirically recorded functional relationships from cortical oscillations in a human brain, and to redistribute the active power flow in different models of electrical grids. Nature Publishing Group UK 2022-08-11 /pmc/articles/PMC9372149/ /pubmed/35953467 http://dx.doi.org/10.1038/s41467-022-31733-2 Text en © The Author(s) 2022 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
Menara, Tommaso
Baggio, Giacomo
Bassett, Dani
Pasqualetti, Fabio
Functional control of oscillator networks
title Functional control of oscillator networks
title_full Functional control of oscillator networks
title_fullStr Functional control of oscillator networks
title_full_unstemmed Functional control of oscillator networks
title_short Functional control of oscillator networks
title_sort functional control of oscillator networks
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9372149/
https://www.ncbi.nlm.nih.gov/pubmed/35953467
http://dx.doi.org/10.1038/s41467-022-31733-2
work_keys_str_mv AT menaratommaso functionalcontrolofoscillatornetworks
AT baggiogiacomo functionalcontrolofoscillatornetworks
AT bassettdani functionalcontrolofoscillatornetworks
AT pasqualettifabio functionalcontrolofoscillatornetworks