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.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.citation | 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.subject | Dynamics | En_Us |
dc.subject | Dynamics | |
dc.title | Emergent hypernetworks in weakly coupled oscillators | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | 5bae555f-a8aa-4b95-bcfe-54cc47812e13 | |
relation.isAuthorOfPublication.latestForDiscovery | 5bae555f-a8aa-4b95-bcfe-54cc47812e13 |
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