Emergent hypernetworks in weakly coupled oscillators

dc.authoridEroglu, Deniz/0000-0001-6725-6949
dc.authoridPereira, Tiago/0000-0001-7866-880X
dc.authoridNijholt, Eddie/0000-0001-5984-4572
dc.authoridPereira, Tiago/0000-0001-5934-4375
dc.authorwosidEroglu, Deniz/GVS-9233-2022
dc.authorwosidPereira, Tiago/G-9620-2019
dc.contributor.authorEroğlu, Deniz
dc.contributor.authorOcampo-Espindola, Jorge Luis
dc.contributor.authorEroglu, Deniz
dc.contributor.authorKiss, Istvan Z.
dc.contributor.authorPereira, Tiago
dc.date.accessioned2023-10-19T15:12:08Z
dc.date.available2023-10-19T15:12:08Z
dc.date.issued2022
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, Englanden_US
dc.description.abstractNetworks 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.sponsorshipFAPESP 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.sponsorshipWe 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.citation10
dc.identifier.doi10.1038/s41467-022-32282-4en_US
dc.identifier.issn2041-1723
dc.identifier.issue1en_US
dc.identifier.pmid35977934en_US
dc.identifier.scopus2-s2.0-85136009025en_US
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1038/s41467-022-32282-4
dc.identifier.urihttps://hdl.handle.net/20.500.12469/5353
dc.identifier.volume13en_US
dc.identifier.wosWOS:000890754500001en_US
dc.identifier.wosqualityQ1
dc.khas20231019-WoSen_US
dc.language.isoenen_US
dc.publisherNature Portfolioen_US
dc.relation.ispartofNature Communicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectDynamicsEn_Us
dc.subjectDynamics
dc.titleEmergent hypernetworks in weakly coupled oscillatorsen_US
dc.typeArticleen_US
dspace.entity.typePublication
relation.isAuthorOfPublication5bae555f-a8aa-4b95-bcfe-54cc47812e13
relation.isAuthorOfPublication.latestForDiscovery5bae555f-a8aa-4b95-bcfe-54cc47812e13

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