Emergent hypernetworks in weakly coupled oscillators

dc.authorid Eroglu, Deniz/0000-0001-6725-6949
dc.authorid Pereira, Tiago/0000-0001-7866-880X
dc.authorid Nijholt, Eddie/0000-0001-5984-4572
dc.authorid Pereira, Tiago/0000-0001-5934-4375
dc.authorwosid Eroglu, Deniz/GVS-9233-2022
dc.authorwosid Pereira, Tiago/G-9620-2019
dc.contributor.author Eroğlu, Deniz
dc.contributor.author Ocampo-Espindola, Jorge Luis
dc.contributor.author Eroglu, Deniz
dc.contributor.author Kiss, Istvan Z.
dc.contributor.author Pereira, Tiago
dc.contributor.other Molecular Biology and Genetics
dc.date.accessioned 2023-10-19T15:12:08Z
dc.date.available 2023-10-19T15:12:08Z
dc.date.issued 2022
dc.department-temp [Nijholt, Eddie; Pereira, Tiago] Univ Sao Paulo, Inst Ciencias Matemat & Computacao, Sao Carlos, Brazil; [Ocampo-Espindola, Jorge Luis; Kiss, Istvan Z.] St Louis Univ, Dept Chem, St Louis, MO USA; [Eroglu, Deniz] Kadir Has Univ, Fac Engn & Nat Sci, Istanbul, Turkey; [Pereira, Tiago] Imperial Coll London, Dept Math, London, England en_US
dc.description.abstract Networks of weakly coupled oscillators had a profound impact on our understanding of complex systems. Studies on model reconstruction from data have shown prevalent contributions from hypernetworks with triplet and higher interactions among oscillators, in spite that such models were originally defined as oscillator networks with pairwise interactions. Here, we show that hypernetworks can spontaneously emerge even in the presence of pairwise albeit nonlinear coupling given certain triplet frequency resonance conditions. The results are demonstrated in experiments with electrochemical oscillators and in simulations with integrate-and-fire neurons. By developing a comprehensive theory, we uncover the mechanism for emergent hypernetworks by identifying appearing and forbidden frequency resonant conditions. Furthermore, it is shown that microscopic linear (difference) coupling among units results in coupled mean fields, which have sufficient nonlinearity to facilitate hypernetworks. Our findings shed light on the apparent abundance of hypernetworks and provide a constructive way to predict and engineer their emergence. en_US
dc.description.sponsorship FAPESP Cemeai Grant [2013/07375-0]; Newton Advanced Fellow of the Royal Society [NAF\R1\180236]; Serrapilheira Institute [Serra-1709-16124]; TUBITAK [118C236]; BAGEP Award of the Science Academy; CONACYT; National Science Foundation [CHE-1900011] en_US
dc.description.sponsorship We thank Sajjad Bakrani, Zachary G. Nicolaou, Marcel Novaes, Edmilson Roque, Robert Ronge and Jeroen Lambfor enlightening discussions. T.P. was supported in part by FAPESP Cemeai Grant No. 2013/07375-0 and is a Newton Advanced Fellow of the Royal Society NAF\R1\180236. T.P. and E.N. were partially supported by Serrapilheira Institute (Grant No. Serra-1709-16124). D.E. was supported by TUBITAK Grant No. 118C236 and the BAGEP Award of the Science Academy. JLO-E acknowledges financial support from CONACYT. I.Z.K. acknowledges support from National Science Foundation (grant CHE-1900011). en_US
dc.identifier.citationcount 10
dc.identifier.doi 10.1038/s41467-022-32282-4 en_US
dc.identifier.issn 2041-1723
dc.identifier.issue 1 en_US
dc.identifier.pmid 35977934 en_US
dc.identifier.scopus 2-s2.0-85136009025 en_US
dc.identifier.scopusquality Q1
dc.identifier.uri https://doi.org/10.1038/s41467-022-32282-4
dc.identifier.uri https://hdl.handle.net/20.500.12469/5353
dc.identifier.volume 13 en_US
dc.identifier.wos WOS:000890754500001 en_US
dc.identifier.wosquality Q1
dc.khas 20231019-WoS en_US
dc.language.iso en en_US
dc.publisher Nature Portfolio en_US
dc.relation.ispartof Nature Communications en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 13
dc.subject Dynamics En_Us
dc.subject Dynamics
dc.title Emergent hypernetworks in weakly coupled oscillators en_US
dc.type Article en_US
dc.wos.citedbyCount 15
dspace.entity.type Publication
relation.isAuthorOfPublication 5bae555f-a8aa-4b95-bcfe-54cc47812e13
relation.isAuthorOfPublication.latestForDiscovery 5bae555f-a8aa-4b95-bcfe-54cc47812e13
relation.isOrgUnitOfPublication 71ce8622-7449-4a6a-8fad-44d881416546
relation.isOrgUnitOfPublication.latestForDiscovery 71ce8622-7449-4a6a-8fad-44d881416546

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