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Fluctuation-induced distributed resonances in oscillatory networks

Across physics, biology, and engineering, the collective dynamics of oscillatory networks often evolve into self-organized operating states. How such networks respond to external fluctuating signals fundamentally underlies their function, yet is not well understood. Here, we present a theory of dyna...

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Autores principales: Zhang, Xiaozhu, Hallerberg, Sarah, Matthiae, Moritz, Witthaut, Dirk, Timme, Marc
Formato: Online Artículo Texto
Lenguaje:English
Publicado: American Association for the Advancement of Science 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6669019/
https://www.ncbi.nlm.nih.gov/pubmed/31392264
http://dx.doi.org/10.1126/sciadv.aav1027
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author Zhang, Xiaozhu
Hallerberg, Sarah
Matthiae, Moritz
Witthaut, Dirk
Timme, Marc
author_facet Zhang, Xiaozhu
Hallerberg, Sarah
Matthiae, Moritz
Witthaut, Dirk
Timme, Marc
author_sort Zhang, Xiaozhu
collection PubMed
description Across physics, biology, and engineering, the collective dynamics of oscillatory networks often evolve into self-organized operating states. How such networks respond to external fluctuating signals fundamentally underlies their function, yet is not well understood. Here, we present a theory of dynamic network response patterns and reveal how distributed resonance patterns emerge in oscillatory networks once the dynamics of the oscillatory units become more than one-dimensional. The network resonances are topology specific and emerge at an intermediate frequency content of the input signals, between global yet homogeneous responses at low frequencies and localized responses at high frequencies. Our analysis reveals why these patterns arise and where in the network they are most prominent. These results may thus provide general theoretical insights into how fluctuating signals induce response patterns in networked systems and simultaneously help to develop practical guiding principles for real-world network design and control.
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spelling pubmed-66690192019-08-07 Fluctuation-induced distributed resonances in oscillatory networks Zhang, Xiaozhu Hallerberg, Sarah Matthiae, Moritz Witthaut, Dirk Timme, Marc Sci Adv Research Articles Across physics, biology, and engineering, the collective dynamics of oscillatory networks often evolve into self-organized operating states. How such networks respond to external fluctuating signals fundamentally underlies their function, yet is not well understood. Here, we present a theory of dynamic network response patterns and reveal how distributed resonance patterns emerge in oscillatory networks once the dynamics of the oscillatory units become more than one-dimensional. The network resonances are topology specific and emerge at an intermediate frequency content of the input signals, between global yet homogeneous responses at low frequencies and localized responses at high frequencies. Our analysis reveals why these patterns arise and where in the network they are most prominent. These results may thus provide general theoretical insights into how fluctuating signals induce response patterns in networked systems and simultaneously help to develop practical guiding principles for real-world network design and control. American Association for the Advancement of Science 2019-07-31 /pmc/articles/PMC6669019/ /pubmed/31392264 http://dx.doi.org/10.1126/sciadv.aav1027 Text en Copyright © 2019 The Authors, some rights reserved; exclusive licensee American Association for the Advancement of Science. No claim to original U.S. Government Works. Distributed under a Creative Commons Attribution NonCommercial License 4.0 (CC BY-NC). http://creativecommons.org/licenses/by-nc/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution-NonCommercial license (http://creativecommons.org/licenses/by-nc/4.0/) , which permits use, distribution, and reproduction in any medium, so long as the resultant use is not for commercial advantage and provided the original work is properly cited.
spellingShingle Research Articles
Zhang, Xiaozhu
Hallerberg, Sarah
Matthiae, Moritz
Witthaut, Dirk
Timme, Marc
Fluctuation-induced distributed resonances in oscillatory networks
title Fluctuation-induced distributed resonances in oscillatory networks
title_full Fluctuation-induced distributed resonances in oscillatory networks
title_fullStr Fluctuation-induced distributed resonances in oscillatory networks
title_full_unstemmed Fluctuation-induced distributed resonances in oscillatory networks
title_short Fluctuation-induced distributed resonances in oscillatory networks
title_sort fluctuation-induced distributed resonances in oscillatory networks
topic Research Articles
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6669019/
https://www.ncbi.nlm.nih.gov/pubmed/31392264
http://dx.doi.org/10.1126/sciadv.aav1027
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