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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...
Autores principales: | , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
American Association for the Advancement of Science
2019
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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. |
format | Online Article Text |
id | pubmed-6669019 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | American Association for the Advancement of Science |
record_format | MEDLINE/PubMed |
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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